Cod sursa(job #1820068)

Utilizator dranoellenTurica Leonard-Petru dranoellen Data 1 decembrie 2016 10:16:34
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.79 kb
#include <cstdio>

using namespace std;

int cmmdc(int a,int b)
{
    if(!b)return a;
    return cmmdc(b,a%b);
}
void solutzii(int a,int b,int d,int&x,int&y)
{
    int xp,yp;
    if(!b)
    {
        x=d/a;
        y=0;
        return;
    }
    solutzii(b,a%b,d,xp,yp);
    int c=a/b;
    x=yp;
    y=xp-c*yp;
    return;

}


int main()
{
    FILE *in=fopen("euclid3.in","r")
             ,*out=fopen("euclid3.out","w");
    int n,a,b,c;
    fscanf(in,"%d",&n);
    while(n--)
    {
        fscanf(in,"%d%d%d",&a,&b,&c);
        int x,y,d;
        d=cmmdc(a,b);
        if(!(c%d))
        {
            solutzii(a,b,d,x,y);
            x*=(c/d),y*=(c/d);
            fprintf(out,"%d %d\n",x,y);

        }
        else fprintf(out,"0 0\n");
    }
    return 0;
}