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扩展欧几里德算法模板,虽然看了,博客还有小紫书,但是还是理解的很模糊,果然数学底子很差。。。后面在写感悟吧,再来补充。上传一张小紫书的欧几里德算法模板讲解。这里还有别的博主详细的讲解传送门:http://blog.csdn.net/yanghui07216/article/details/49388143 C. Line
time limit per test1 second
memory limit per test256 megabytes
inputstandard input
outputstandard output
A line on the plane is described by an equation Ax + By + C = 0. You are to find any point on this line, whose coordinates are integer numbers from - 5·1018 to 5·1018 inclusive, or to find out that such points do not exist.
Input
The first line contains three integers A, B and C ( - 2·109 ≤ A, B, C ≤ 2·109) — corresponding coefficients of the line equation. It is guaranteed that A2 + B2 > 0.
Output
If the required point exists, output its coordinates, otherwise output -1.
Examples
input
2 5 3
output
6 -3
#include
#include
#include
#include
using namespace std;
typedef long long ll;
void gcd(ll a,ll b,ll &d,ll &x,ll &y)
{
if(!b)
{
x=1;
y=0;
d=a;
}
else
{
gcd(b,a%b,d,y,x);
y-=x*(a/b);
}
}
int main()
{
ll a,b,c,x,y,d;
while(cin>>a>>b>>c)
{
gcd(a,b,d,x,y);
if(c%d!=0)
puts("-1");
else
cout<<-x*(c/d)<<' '<<-y*(c/d)<