Cod sursa(job #1354606)

Utilizator ZappaManIosif Adrian-Mihai ZappaMan Data 21 februarie 2015 21:51:37
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.87 kb
#include <cstdio>

void euclid(int a, int b, int *d, int *x, int *y) {
	if (b == 0) {
		*d = a;
		*x = 1;
		*y = 0;
	} else {
		int x0, y0;
		euclid(b, a % b, d, &x0, &y0);
		*x = y0;
		*y = x0 - (a / b) * y0;
	}
}

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(void) {
	FILE * iff = fopen("euclid3.in", "r");
	FILE * off = fopen("euclid3.out", "w");
	int T;
	fscanf(iff,"%d",&T);
	while (T--) {
		int A, B, C;
		fscanf(iff, "%d %d %d", &A, &B, &C);
		int D, X, Y;
		D = gcd(A, B, X, Y);

		if (C % D)
			fprintf(off,"0 0\n");
		else
			fprintf(off,"%d %d\n", X * (C / D), Y * (C / D) );
	}
	fclose(iff);
	fclose(off);
	return 0;
}