programming python

Cách tìm lcm và hcf của hai số trong python

LCM [Bội chung nhỏ nhất] của hai số là số nhỏ nhất chia hết cho cả hai số.  

Ví dụ: LCM của 15 và 20 là 60 và LCM của 5 và 7 là 35

Một giải pháp đơn giản là tìm tất cả các thừa số nguyên tố của cả hai số, sau đó tìm hợp của tất cả các thừa số có trong cả hai số. Cuối cùng, trả về sản phẩm của các yếu tố trong hiệp hội

Một giải pháp hiệu quả dựa trên công thức dưới đây cho LCM của hai số 'a' và 'b'.  

   a x b = LCM[a, b] * GCD [a, b]

   LCM[a, b] = [a x b] / GCD[a, b]

Chúng ta đã thảo luận về chức năng tìm GCD của hai số. Sử dụng GCD, chúng ta có thể tìm thấy LCM.  

Dưới đây là triển khai ý tưởng trên

C++




LCM of 15 and 20 is 60
38

LCM of 15 and 20 is 60
39

LCM of 15 and 20 is 60
40 
LCM of 15 and 20 is 60
41 
LCM of 15 and 20 is 60
42

 

LCM of 15 and 20 is 60
43

LCM of 15 and 20 is 60
44 
LCM of 15 and 20 is 60
44 
LCM of 15 and 20 is 60
0_______144 
LCM of 15 and 20 is 60
44 
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
4
LCM of 15 and 20 is 60
44 
LCM of 15 and 20 is 60
44 
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
8

LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
380
LCM of 15 and 20 is 60
381 
LCM of 15 and 20 is 60
382

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
385

LCM of 15 and 20 is 60
380
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
388

LCM of 15 and 20 is 60
389

 

LCM of 15 and 20 is 60
390

LCM of 15 and 20 is 60
44 
LCM of 15 and 20 is 60
44 
LCM of 15 and 20 is 60
393______13 
LCM of 15 and 20 is 60
4
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
8

LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
401

LCM of 15 and 20 is 60
389

LCM of 15 and 20 is 60
403

LCM of 15 and 20 is 60
404

LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
406

LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
410

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
412
LCM of 15 and 20 is 60
413 
LCM of 15 and 20 is 60
414
LCM of 15 and 20 is 60
415

LCM of 15 and 20 is 60
416
LCM of 15 and 20 is 60
417
LCM of 15 and 20 is 60
418 
LCM of 15 and 20 is 60
419

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
422

LCM of 15 and 20 is 60
389

C




LCM of 15 and 20 is 60
424

LCM of 15 and 20 is 60
425

 

LCM of 15 and 20 is 60
43

LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
0
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
4
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
8

LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
381 
LCM of 15 and 20 is 60
436

LCM of 15 and 20 is 60
437
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
439

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
442

LCM of 15 and 20 is 60
389

 

LCM of 15 and 20 is 60
390

LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
393
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
4
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
8

LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
401

LCM of 15 and 20 is 60
389

 

LCM of 15 and 20 is 60
404

LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
406

LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
410

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
04
LCM of 15 and 20 is 60
05
LCM of 15 and 20 is 60
06
LCM of 15 and 20 is 60
07

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
422

LCM of 15 and 20 is 60
389

Java




LCM of 15 and 20 is 60
12

LCM of 15 and 20 is 60
13 
LCM of 15 and 20 is 60
14

LCM of 15 and 20 is 60
15 
LCM of 15 and 20 is 60
16 
LCM of 15 and 20 is 60
17

LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
20

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
22 
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
0
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
4
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
8

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
437
LCM of 15 and 20 is 60
381 
LCM of 15 and 20 is 60
33
LCM of 15 and 20 is 60
34
LCM of 15 and 20 is 60
35

LCM of 15 and 20 is 60
36
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
439

LCM of 15 and 20 is 60
437
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
442

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
389

LCM of 15 and 20 is 60
383

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
46

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
22 
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
393
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
4
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
8

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
437
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
401

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
389

LCM of 15 and 20 is 60
383

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
64

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
15 
LCM of 15 and 20 is 60
22 
LCM of 15 and 20 is 60
68 
LCM of 15 and 20 is 60
69

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
437
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
74
LCM of 15 and 20 is 60
75
LCM of 15 and 20 is 60
76
LCM of 15 and 20 is 60
77
LCM of 15 and 20 is 60
78

LCM of 15 and 20 is 60
437
LCM of 15 and 20 is 60
80
LCM of 15 and 20 is 60
413 
LCM of 15 and 20 is 60
82

LCM of 15 and 20 is 60
83
LCM of 15 and 20 is 60
415 
LCM of 15 and 20 is 60
85

LCM of 15 and 20 is 60
86____1418 
LCM of 15 and 20 is 60
88

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
389

LCM of 15 and 20 is 60
389

Python3




LCM of 15 and 20 is 60
92

 

LCM of 15 and 20 is 60
93

LCM of 15 and 20 is 60
94 
LCM of 15 and 20 is 60
95

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
381 
LCM of 15 and 20 is 60
98
LCM of 15 and 20 is 60
99
LCM of 15 and 20 is 60
99 
LCM of 15 and 20 is 60
34
LCM of 15 and 20 is 60
3802

LCM of 15 and 20 is 60
437
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
3805

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
3808
LCM of 15 and 20 is 60
3809 
LCM of 15 and 20 is 60
3810

 

LCM of 15 and 20 is 60
3811

LCM of 15 and 20 is 60
94 
LCM of 15 and 20 is 60
3813

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
3816
LCM of 15 and 20 is 60
3817
LCM of 15 and 20 is 60
3817 
LCM of 15 and 20 is 60
3819
LCM of 15 and 20 is 60
3820 
LCM of 15 and 20 is 60
3805

 

LCM of 15 and 20 is 60
3822

LCM of 15 and 20 is 60
98
LCM of 15 and 20 is 60
99 
LCM of 15 and 20 is 60
75

LCM of 15 and 20 is 60
3805
LCM of 15 and 20 is 60
99 
LCM of 15 and 20 is 60
77

LCM of 15 and 20 is 60
3829
LCM of 15 and 20 is 60
05
LCM of 15 and 20 is 60
3831
LCM of 15 and 20 is 60
3832
LCM of 15 and 20 is 60
3833
LCM of 15 and 20 is 60
3834
LCM of 15 and 20 is 60
3835
LCM of 15 and 20 is 60
3836

 

LCM of 15 and 20 is 60
3837

C#




LCM of 15 and 20 is 60
3838

LCM of 15 and 20 is 60
3839

LCM of 15 and 20 is 60
40 
LCM of 15 and 20 is 60
3841

LCM of 15 and 20 is 60
16 
LCM of 15 and 20 is 60
3843

LCM of 15 and 20 is 60
383

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
3846

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
3848

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
22 
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
0
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
4
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
8

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
437
LCM of 15 and 20 is 60
381 
LCM of 15 and 20 is 60
436

LCM of 15 and 20 is 60
36
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
439

LCM of 15 and 20 is 60
437
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
442

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
389

LCM of 15 and 20 is 60
383

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
3872

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
3874

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
22 
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
393
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
4
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
8

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
437
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
401

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
389

LCM of 15 and 20 is 60
383

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
64

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
15 
LCM of 15 and 20 is 60
22 
LCM of 15 and 20 is 60
68 
LCM of 15 and 20 is 60
3897

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
437
LCM of 15 and 20 is 60
3 
LCM of 15 and 20 is 60
410

LCM of 15 and 20 is 60
437
LCM of 15 and 20 is 60
3904
LCM of 15 and 20 is 60
413 
LCM of 15 and 20 is 60
82

LCM of 15 and 20 is 60
416
LCM of 15 and 20 is 60
415 
LCM of 15 and 20 is 60
85
LCM of 15 and 20 is 60
418 
LCM of 15 and 20 is 60
88

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
389

LCM of 15 and 20 is 60
389

 

LCM of 15 and 20 is 60
3915

PHP




LCM of 15 and 20 is 60
3916

LCM of 15 and 20 is 60
3917

 

LCM of 15 and 20 is 60
3918

LCM of 15 and 20 is 60
3848

LCM of 15 and 20 is 60
3920 
LCM of 15 and 20 is 60
0
LCM of 15 and 20 is 60
3922
LCM of 15 and 20 is 60
3923
LCM of 15 and 20 is 60
3924
LCM of 15 and 20 is 60
35

LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
3927
LCM of 15 and 20 is 60
381 
LCM of 15 and 20 is 60
05
LCM of 15 and 20 is 60
3922 
LCM of 15 and 20 is 60
3931

LCM of 15 and 20 is 60
437
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
3924
LCM of 15 and 20 is 60
78

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
0
LCM of 15 and 20 is 60
3924 
LCM of 15 and 20 is 60
3809
LCM of 15 and 20 is 60
3922
LCM of 15 and 20 is 60
3923
LCM of 15 and 20 is 60
3922
LCM of 15 and 20 is 60
3944

LCM of 15 and 20 is 60
389

 

LCM of 15 and 20 is 60
3946

LCM of 15 and 20 is 60
3947

LCM of 15 and 20 is 60
3920 
LCM of 15 and 20 is 60
393
LCM of 15 and 20 is 60
3922
LCM of 15 and 20 is 60
3923
LCM of 15 and 20 is 60
3924
LCM of 15 and 20 is 60
35

LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
05
LCM of 15 and 20 is 60
3922 
LCM of 15 and 20 is 60
3959
LCM of 15 and 20 is 60
3922
LCM of 15 and 20 is 60
3923
LCM of 15 and 20 is 60
3924
LCM of 15 and 20 is 60
3963
LCM of 15 and 20 is 60
3924
LCM of 15 and 20 is 60
78

LCM of 15 and 20 is 60
389

 

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
3968

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
3922 
LCM of 15 and 20 is 60
3971

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
3924 
LCM of 15 and 20 is 60
3974

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
3976 
LCM of 15 and 20 is 60
413
LCM of 15 and 20 is 60
3923
LCM of 15 and 20 is 60
3922
LCM of 15 and 20 is 60
3923
LCM of 15 and 20 is 60
415

LCM of 15 and 20 is 60
416
LCM of 15 and 20 is 60
3923
LCM of 15 and 20 is 60
3924
LCM of 15 and 20 is 60
3923
LCM of 15 and 20 is 60
418
LCM of 15 and 20 is 60
3987
LCM of 15 and 20 is 60
3922
LCM of 15 and 20 is 60
3923
LCM of 15 and 20 is 60
3924
LCM of 15 and 20 is 60
3944

 

LCM of 15 and 20 is 60
3915

LCM of 15 and 20 is 60
3993

Javascript




LCM of 15 and 20 is 60
3994

 

LCM of 15 and 20 is 60
3995

 

LCM of 15 and 20 is 60
43

LCM of 15 and 20 is 60
3920 
LCM of 15 and 20 is 60
3998

LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
381 
LCM of 15 and 20 is 60
382

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
385

LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
388

LCM of 15 and 20 is 60
389

 

LCM of 15 and 20 is 60
390

LCM of 15 and 20 is 60
3920 
LCM of 15 and 20 is 60
4010

LCM of 15 and 20 is 60
9

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
384 
LCM of 15 and 20 is 60
401

LCM of 15 and 20 is 60
389

 

LCM of 15 and 20 is 60
404

LCM of 15 and 20 is 60
403

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
4019

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
4021
LCM of 15 and 20 is 60
413 
LCM of 15 and 20 is 60
82
LCM of 15 and 20 is 60
415

LCM of 15 and 20 is 60
383
LCM of 15 and 20 is 60
85____1418 
LCM of 15 and 20 is 60
88

LCM of 15 and 20 is 60
383

 

LCM of 15 and 20 is 60
4030

 

LCM of 15 and 20 is 60
4031

Đầu ra

LCM of 15 and 20 is 60

Thời gian phức tạp. O[log[min[a,b]]

Không gian phụ trợ. O[log[min[a,b]]

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