最小公倍数(hdu1019)

/*Least Common Multiple
Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 18649    Accepted Submission(s): 6949


Problem 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
 

Sample Output
105
10296
 

Source
East Central North America 2003, Practice 
*/
#include<iostream>
using namespace std;
int ans;
void LCM(int m,int n)
{
    int m1=m;
    int n1=n;
    int temp;
    while(n1%m1!=0)
    {
        temp=n1%m1;
        n1=m1;
        m1=temp;
    }
    ans=n/m1*m;
}
int main()
{
    int m,n,num,t;
    scanf("%d",&t);
    while(t--)
    {
        scanf("%d",&num);
        scanf("%d",&m);
        if(num==1)
        {
            printf("%d\n",m);
            continue;
        }
        scanf("%d",&n);
        LCM(m,n);
        for(int i=2;i<num;i++)
        {
            scanf("%d",&m);
            LCM(ans,m);
        }
        printf("%d\n",ans);
    }
    return 0;
}

 

posted @ 2012-11-22 16:06  myth_HG  阅读(706)  评论(0编辑  收藏  举报