Least Common Multiple

问题 A: Least Common Multiple

时间限制: 1 Sec  内存限制: 32 MB

题目描述

The least common multiple (LCM) of a set of positive integers is the smallest positive integer which is divisible by all the numbers in the set. For example, the LCM of 5, 7 and 15 is 105.

输入

Input will consist of multiple problem instances. The first line of the input will contain a single integer indicating the number of problem instances. Each instance will consist of a single line of the form m n1 n2 n3 ... nm where m is the number of integers in the set and n1 ... nm are the integers. All integers will be positive and lie within the range of a 32-bit integer.

输出

For each problem instance, output a single line containing the corresponding LCM. All results will lie in the range of a 32-bit integer.

样例输入

22 3 53 4 6 12

样例输出

1512

#include<stdio.h>long long gcd(long long a,long long b){if(b==0)return a;return gcd(b,a%b);}int main(){int n;scanf("%d",&n);while(n--){int m;long long num;scanf("%d%lld",&m,&num);while(--m){long long k;scanf("%lld",&k);num=(num*k)/gcd(num,k);}printf("%lld\n",num);}return 0;}