HDU 1019:Least Common Multiple

Least Common Multiple

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 42382    Accepted Submission(s): 15941

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

 

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#include<stdio.h>
int gcd(int a,int b)
{
    if(b==0)return a;
    return gcd(b,a%b);
}
int main()
{
    int T,n,a,b,i,s;
    scanf("%d",&T);
    while(T--)
    {
        scanf("%d",&n);
        s=1,a=1;
        for(i=1; i<=n; i++)
        {
            scanf("%d",&b);
            s=a/gcd(a,b)*b;
            a=s;
        }
        printf("%d\n",s);
    }
    return 0;
}