Problem A
GCD
Input: Standard Input
Output: Standard Output
Given the value of N, you will have to find the value of G. The definition of G is given below:
|
Here GCD(i,j) means the greatest common divisor of integer i and integer j.
For those who have trouble understanding summation notation, the meaning of G is given in the following code:
G=0; for(i=1;i<N;i++) for(j=i+1;j<=N;j++) { G+=GCD(i,j); } /*Here
GCD() is a function that finds the greatest common divisor of the two input
numbers*/ |
The input file contains at most 100 lines of inputs. Each line contains an integer N (1<N<501). The meaning of N is given in the problem statement. Input is terminated by a line containing a single zero. This zero should not be processed.
For each line of input produce one line of output. This line contains the value of G for corresponding N.
10 100 500 0 |
67 13015 442011 |
Problemsetter: Shahriar Manzoor
Special Thanks:
Syed Monowar Hossain