Least Common Multiple
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 33105 Accepted Submission(s): 12478
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" int leastCommon(int a,int b) { if(b==0) return a; return leastCommon(b,a%b); } int main() { int n,m,t1,t2; while(scanf("%d",&n)!=-1) { while(n--) { scanf("%d",&m); scanf("%d",&t1); m--; while(m--) { scanf("%d",&t2); t1=t1/leastCommon(t1,t2)*t2; } printf("%d\n", t1); } } }
这个需要注意:
t1=t1/leastCommon(t1,t2)*t2;如果写成
t1=t1*t2/leastCommon(t1,t2); 就会越界!