Created
November 14, 2016 21:19
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Extended GCD
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| #include <bits/stdc++.h> | |
| #define MEM(a,b) memset((a),(b),sizeof(a)) | |
| #define MAX(a,b) ((a)>(b)?(a):(b)) | |
| #define MIn(a,b) ((a)<(b)?(a):(b)) | |
| #define MIn4(a,b,c,d) MIn(MIn(MIn(a,b),c),d) | |
| #define In freopen("In.txt", "r", stdin); | |
| #define Out freopen("out.txt", "w", stdout); | |
| #define i64 long long | |
| #define u64 long long unsigned | |
| #define sz 1000000 | |
| using namespace std; | |
| void extended_euclid(int A,int B) | |
| { | |
| //calculate the value for x and y | |
| // Ax + bY = D | |
| int m,n,p,q,a,b; | |
| int x=1,y=0; | |
| int u=0,v=1; | |
| a = A,b = B; | |
| while(b!=0) | |
| { | |
| m = a%b; | |
| q = a/b; | |
| x = x - (u*q); | |
| y = y - (v*q); | |
| swap(x,u); | |
| swap(y,v); | |
| a = b; | |
| b = m; | |
| } | |
| //printing the result in a format | |
| cout << A << "(" << x << ") + " << B << "(" << y << ") = " << a << endl; | |
| } | |
| int main() | |
| { | |
| int d,x,y,a,b,c; | |
| while(cin >> a >> b) | |
| { | |
| extended_euclid(a,b); | |
| } | |
| } | |
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