python 最小公倍数

最小公倍数

求解两个整数（不能是负数）的最小公倍数

方法一：穷举法

 1 def LCM(m, n):
 2
 3     if m*n == 0:
 4         return 0
 5     if m > n:
 6         lcm = m
 7     else:
 8         lcm = n
 9
10     while lcm%m or lcm%n:
11         lcm += 1
12
13     return lcm

方式二：公式lcm = a*b/gcd(a, b)

 1 def gcd(m,n):
 2
 3     if not n:
 4         return m
 5     else:
 6         return gcd(n, m%n)
 7
 8 def LCM(m, n):
 9
10     if m*n == 0:
11         return 0
12     return int(m*n/gcd(m, n))
13
14 if __name__ == ‘__main__‘:
15     a = int(input(‘Please input the first integers : ‘))
16     b = int(input(‘Please input the second integers : ‘))
17     result = LCM(a, b)
18     print(‘lcm = ‘, result)