1019:Least Common Multiple

    技术2026-03-26  6

    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 代码: #include <stdio.h> #include<cstring> int GetGCDRec(int n,int m) {  if(n%m==0)   return m;  return GetGCDRec(m,n%m); } int main() {  int n,m;  int temp;  int a;  scanf("%d",&n);  while(n--)  {   scanf("%d",&m);   scanf("%d",&temp);   while(--m)   {    scanf("%lld",&a);    if(a>temp)     temp=a/GetGCDRec(a,temp)*temp;    else     temp=a/GetGCDRec(temp,a)*temp;       }   printf("%d/n",temp);  }     return 0; }
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