先给出ac代码 代码分析笔者会慢慢往上放(题解来源数学一本通)
#include<iostream>
using namespace std;
int exgcd(int a,int b,int &x,int &y)
{
if(b == 0)
{
x = 1; y = 0;
return a;
}
int gcd = exgcd(b,a%b,x,y);
int t = x;
x = y;
y = t-a/b*y;
return gcd;
}
int main()
{
int nok = 0,x,y,m,n,l,X,Y,gcd;
cin>>x>>y>>m>>n>>l;
if((x-y)%(gcd=exgcd(n-m,l,X,Y)) != 0) cout<<"Impossible"<<endl;
else cout<<((long long)(x-y)/gcd*X%(l/gcd)+(l/gcd))%(l/gcd)<<endl;
return 0;
}