Tuesday 11 August 2015

UVA 834 Continued Fractions

///     Raihan Ruhin
///     CSE, Jahangirnagar University.
///     Dhaka-Bangladesh.
///     id: raihanruhin (topcoder / codeforces / codechef / hackerrank / uva / uvalive / spoj), 3235 (lightoj)
///     mail: raihanruhin@ (yahoo / gmail / facebook)
///     blog: ruhinraihan.blogspot.com

#include<bits/stdc++.h>
using namespace std;

#define SET(a) memset(a,-1,sizeof(a))
#define CLR(a) memset(a,0,sizeof(a))
#define PI acos(-1.0)

#define MOD 1000000007
#define MX 100010


int main()
{
    ios_base::sync_with_stdio(0);cin.tie(0);
    int tc, kk=1, n, d;
    string s;
    char ch;
    while(cin>>n>>d)
    {
        if(n%d==0)
        {
            cout<<"["<<n/d<<"]\n";
            continue;
        }
        cout<<"["<<n/d<<";";
        n=n%d;
        while(n)
        {
            swap(n, d);
            if(n%d==0)
            {
                cout<<n/d<<"]\n";
                break;
            }
            cout<<n/d<<",";
            n=n%d;
        }
        //cout<< <<"\n";
    }
return 0;
}

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