Egyptian Fraction
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| #include <bits/stdc++.h> | |
| using namespace std; | |
| #define INF 1<<30 | |
| #define MAX 10005 | |
| #define FASTIO ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); | |
| typedef long long ll; | |
| void printEgyptian(int nr, int dr) | |
| { | |
| if(dr == 0 || nr == 0) return; | |
| if(dr%nr == 0){ | |
| cout << "1/"<<(dr/nr); | |
| return; | |
| } | |
| if(nr%dr == 0){ | |
| cout << nr/dr; | |
| return; | |
| } | |
| if(nr > dr){ | |
| cout << nr/dr << " + "; | |
| printEgyptian(nr%dr, dr); | |
| return; | |
| } | |
| int n = dr/nr + 1; | |
| cout << "1/" << n << " + "; | |
| printEgyptian(nr*n-dr, dr*n); | |
| } | |
| int main() | |
| { | |
| FASTIO | |
| ///* | |
| //double start_time = clock(); | |
| #ifndef ONLINE_JUDGE | |
| freopen("in.txt", "r", stdin); | |
| freopen("out.txt", "w", stdout); | |
| freopen("error.txt", "w", stderr); | |
| #endif | |
| //*/ | |
| int nr, dr; | |
| cin >> nr >> dr; | |
| cout << "Egyptian Fraction Representation of "<<nr << "/"<<dr<< " is \n"; | |
| printEgyptian(nr,dr); | |
| //double end_time = clock(); | |
| //printf( "Time = %lf ms\n", ( (end_time - start_time) / CLOCKS_PER_SEC)*1000); | |
| return 0; | |
| } |
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