Least Common Multiple HDU1019

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.

InputInput 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. 
OutputFor 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
10296两个两个求最小公倍数,用到辗转相除注意a先除最大公约在*b这样可以避免使用longlong。

 1 #include <iostream>
 2 using namespace std;
 3 #include<string.h>
 4 #include<set>
 5 #include<stdio.h>
 6 #include<math.h>
 7 #include<queue>
 8 #include<map>
 9 #include<algorithm>
10 #include<cstdio>
11 #include<cmath>
12 #include<cstring>
13 #include <cstdio>
14 #include <cstdlib>
15 #include<cstring>
16 int qqq(int a,int b)
17 {
18     if(a%b==0)
19         return b;
20     return qqq(b,a%b);
21 }
22 int www(int a,int b)
23 {
24     return a/qqq(a,b)*b;
25 }
26 int main()
27 {
28     int t;
29     cin>>t;
30     while(t--)
31     {
32         int n;
33         cin>>n;
34         int a,b;
35         a=1;
36         while(n--)
37         {
38             cin>>b;
39             if(b>a)
40                 swap(a,b);
41             a=www(a,b);
42         }
43         cout<<a<<endl;
44     }
45     return 0;
46 }

时间: 2024-10-27 06:52:09

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