HDU 1019 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
直接求gcd就好,代码:
#include<iostream>using namespace std;int gcd(int a,int b){int c;do{c=a%b;a=b;b=c;}while(c!=0);return a;}int main(){int m,n,i,a,lcm,g;cin>>m;while(m>0){cin>>n;lcm=1;while(n>0){cin>>a;g=gcd(lcm,a);lcm=lcm/g*a;n--;}m--;cout<<lcm<<endl;}return 0;}
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