Returns the least common multiple of two or more numbers.
Define a gcd()
function that determines the greatest common divisor, using recursion.
Use gcd()
and the fact that LCM(x, y) = x * y / GCD(x,y)
to determine the least common multiple.
Use range
to apply the calculation to all given numbers.
代码实现
func gcd(x, y int) int {
if y == 0 {
return x
}
return gcd(y, x%y)
}
func LCM(nums ...int) int {
x := nums[0]
for _, y := range nums[1:] {
x = (x * y) / gcd(x, y)
}
return x
}
使用样例
LCM(12, 7) // 84
LCM([]int{1, 3, 4, 5}...) // 60