杭电ACM 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): 20576    Accepted Submission(s): 7674

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

23 5 7 156 4 10296 936 1287 792 1

 

 

Sample Output

10510296

 

 

Source

East Central North America 2003, Practice

 

 

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JGShining

 

 

 

 

#include <cstdio>int gcd(int a,int b){return b?gcd(b,a%b):a;}int lcm(int a,int b){return a/gcd(a,b)*b;}int main(){    int t,n,a,b;    scanf("%d",&t);    while(t--){        scanf("%d",&n);        scanf("%d",&a);        for(int i=1;i<n;i++){            scanf("%d",&b);            a=lcm(a,b);        }        printf("%d\n",a);    }}