hdoj 1019
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Least Common Multiple
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 33327 Accepted Submission(s): 12572
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
#include<iostream>
#include<cstdio>
#include<algorithm>
using namespace std;
int fun(int a,int b)
{
if(a%b==0)
{
return b;
}
else
{
return fun(b,a%b);
}
}
int main()
{
int t;
while(scanf("%d",&t)!=EOF)
{
while(t--)
{
int m,a;
scanf("%d %d",&m,&a);
int sum=a;
while(--m)
{
scanf("%d",&a);
sum=sum/fun(max(sum,a),min(sum,a))*a;
}
cout<<sum<<endl;
}
}
return 0;
}
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