Parallelepiped(水题)

Submit Status Practice CodeForces 224A

Description

You've got a rectangular parallelepiped with integer edge lengths. You know the areas of its three faces that have a common vertex. Your task is to find the sum of lengths of all 12 edges of this parallelepiped.

Input

The first and the single line contains three space-separated integers ― the areas of the parallelepiped's faces. The area's values are positive (?>?0) and do not exceed 10⁴. It is guaranteed that there exists at least one parallelepiped that satisfies the problem statement.

Output

Print a single number ― the sum of all edges of the parallelepiped.

Sample Input

1 1 1

12

4 6 6

28

Sample Output

 301
425
-1 

Hint

In the first sample the parallelepiped has sizes 1?×?1?×?1, in the second one ― 2?×?2?×?3.

题意：给出一个正六面体（其实就是个长方体，一开始没反应过来 sad） 给出三个面的面积s1，s2，s3，让你求出12条边的长度。

思路：先求出长宽高a，b，c来，然后相加*4即可。那么问题来了 如何求。

a*b=s1，a*c=s2，b*c=s3，然后联立就可以了。

#include 
  
   
#include 
   
     #include 
    
      #include 
     
       int main() { int s1,s2,s3; int a,b,c; scanf("%d %d %d",&s1,&s2,&s3); a=sqrt(s1*s3/s2); b=sqrt(s1*s2/s3); c=sqrt(s2*s3/s1); int d=(a+b+c)*4; printf("%d\n",d); return 0; }