Hdoj 1019 Least Common Multiple

Description

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.      

Input

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.      

Output

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

Sample Input

2
    3 5 7 15
    6 4 10296 936 1287 792 1      

105
    10296
題意：求所有數的最小公倍數，不斷去掉兩個數，把他們的最下公倍數作為下一個數，再取，知道取完，就得到了答案。      

///@zhangxiaoyu
///2015/8/13

#include<cstdio>
#include<cstring>
#include<iostream>
using namespace std;

int gcd(int a,int b)
{
    if(b==0)return a;
    return gcd(b,a%b);
}

int main()
{
  int tt;
  int m,a,b;
  while(scanf("%d",&tt)!=EOF)
  {
      for(int i=0;i<tt;i++)
      {
          scanf("%d",&m);
          a=1;
          for(int j=0;j<m;j++)
          {
              scanf("%d",&b);
              a=a/gcd(a,b)*b;
          }
          printf("%d\n",a);
      }
  }
  return 0;
}