Cod sursa(job #145272)

Utilizator HoriaClementHoriaC HoriaClement Data 28 februarie 2008 17:39:19
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.03 kb
#include <stdio.h>   
#include <assert.h>   
  
inline int gcd( int A, int B, int &X, int &Y )   
{   
    if (B == 0)   
    {   
        X = 1;   
        Y = 0;   
        return A;   
    }   
  
    int X0, Y0, D;   
    D = gcd( B, A % B, X0, Y0 );   
       
    X = Y0;   
    Y = X0 - (A / B) * Y0;   
    return D;   
}   
  
int main()   
{   
    freopen("euclid3.in", "rt", stdin);   
    freopen("euclid3.out", "wt", stdout);   
  
    int T;   
    for (scanf("%d", &T), assert( T <= 100 ); T; T--)   
    {   
        int A, B, C;   
        scanf("%d %d %d", &A, &B, &C);   
  
        assert( -1000000000 <= A && A <= 1000000000 );   
        assert( -1000000000 <= B && B <= 1000000000 );   
        assert( -2000000000 <= C && C <= 2000000000 && C != 0 );   
        int D, X, Y;   
        D = gcd( A, B, X, Y );   
           
        if (C % D)   
            printf("0 0\n");   
        else  
            printf("%d %d\n", X * (C / D), Y * (C / D));   
    }   
  
    return 0;   
}