题目链接:
原题:
Least Common Multiple
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 29996 Accepted Submission(s): 11345
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
题目大意:
就是第一次输入一个数T,然后有T组测试数据;
然后输入,n,求n个数的公共倍数;
代码如下:
#include<stdio.h>
int ys(int a,int b)
{
return !b?a:ys(b,a%b);
}
int main()
{
int T,n,b,bs,i;
scanf("%d",&T);
while(T--)
{
scanf("%d%d",&n,&bs);
for(i=1;i<n;i++)
{
scanf("%d",&b);
bs=bs/ys(bs,b)*b;//应该先除后乘,免得数据溢出,比如乘了以后超过了32位数;
}
printf("%d\n",bs);
}
return 0;
}
运行结果: