Cod sursa(job #2480851)

Utilizator aser.cobaschiCobaschi Aser aser.cobaschi Data 26 octombrie 2019 10:39:54
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.76 kb
#include <bits/stdc++.h>

using namespace std;
ifstream f("euclid3.in");
ofstream g("euclid3.out");
int t,a,b,c,d,xa,yb,cmmdc(int,int,int&,int&);
int main()
{
    f>>t;
    for(;t;t--)
    {
        f>>a>>b>>c;
        d=cmmdc(a,b,xa,yb);
        if(c%d)
        {
            xa=yb=0;
        }
        else
        {
            xa*=c/d;
            yb*=c/d;
        }
        g<<xa<<' '<<yb<<'\n';
    }
    return 0;
}
int cmmdc(int a,int b,int &x,int &y)
{
    if(b==0){x=1;y=0;return a;}
    /// a = C*b + R cmmdc( a , b ) = cmmdc ( b , R ) unde C=a/b R=a%b
    /// a*x+b*y=d  | b*X+R*Y=d  | b*X +(a-C*b)*Y=d | a*Y+b*(X-C*Y)= d => x = Y ; y = X - a/b*Y
    int X,Y,D;
    D=cmmdc(b,a%b,X,Y);
    x=Y;
    y=X-a/b*Y;
    return D;
}