Least Common Multiple
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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//求最小公倍数#include<iostream>#include<string.h>#include<string>using namespace std; int gcd(int m,int n){int r;while((r=(m%n))!=0){m=n;n=r;}return n;}int main(){int t,a,b,c,i;while(cin>>t){while(t--){cin>>a>>b;//输入开头的个数和第一个数for(i=1;i<a;i++){cin>>c;//输入每个数b=b/gcd(b,c)*c;//若b=b*c/gcd(b,c)则是wrong answer}cout<<b<<endl;}}return 0;}
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