Sunday 28 October 2012

UVa 10104 - Euclid Problem Solution

#include<iostream>
#include<cstdio>
#include<list>
#include<string>
#include<cstring>
#include<sstream>
#include<cctype>
#include<string.h>
#include<algorithm>
#include<cmath>
#include<stack>
#include<fstream>
#include<cstdlib>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
#include<queue>
#include<deque>
#include<iterator>
#include<assert.h>
#include<bitset>
#include<climits>
#include<ctime>
#include<complex>

using namespace std;

#define SET(a) memset(a,-1,sizeof(a))
#define ALL(a) a.begin(),a.end()
#define CLR(a) memset(a,0,sizeof(a))
#define PB push_back
#define PI acos(-1.0)
#define MP(a,b) make_pair(a,b)
#define PII pair<int,int>
#define PCC pair<char,char>
#define PIC pair<int,char>
#define PCI pair<char,int>
#define VS vector<string>
#define VI vector<int>
#define VC vector<char>
#define max3(a,b,c) max(a,max(b,c)
#define min3(a,b,c) min(a,min(b,c)
#define READ freopen("input.txt", "r", stdin)
#define WRITE freopen("output.txt", "w", stdout)
#define LL long long
#define FOR(i,a,b) for(int i=a;i<=b;i++)
#define RFOR(i,a,b) for(int i=a;i>=b;i--)
#define For(i,a) for(int i=0;i<a;i++)

#define S(a) scanf("%d",&a)
#define S2(a,b) scanf("%d%d",&a,&b)
#define S3(a,b,c) scanf("%d%d%d",&a,&b,&c)
#define SLL(a) scanf("%lld",&a)
#define SLL2(a,b) scanf("%lld%lld",&a,&b)
#define SLL3(a,b,c) scanf("%lld%lld%lld",&a,&b,&c)
#define SS(a) scanf("%s",a)
#define SC(a) scanf("%c",&a)
#define SD(a) scanf("%lf",&a)
#define P(a) printf("%d",a)
#define PLL(a) printf("%lld",a)
#define PD(a) printf("%lf",a)
#define PC(a) printf("%c",a)
#define PS(a) printf("%s",a)
#define KS printf("Case %d: ",kk++)
#define KN printf("Case %d:\n",kk++)
#define KH printf("Case #%d: ",kk++)
#define NL printf("\n")
#define DB cout<<"done"<<endl;

#define EPS 1e-9
#define MOD 10007
#define INF INT_MAX/3
#define MX 1010

template<typename T>inline string tostring(T a){ostringstream os("");os << a;return os.str();}
template<typename T>inline LL tolong(T a){LL res;istringstream os(a);os>>res;return res;}
template<typename T>inline VI parse(T str){VI res;int s;istringstream os(str);while(os>>s)res.PB(s);return res;}
template< class T > inline T _sqrt(T x) { return (T) sqrt( (double) x); }
template< class T > inline T _bigmod(T n,T m) {T ans=1,mult=n%MOD; while(m){ if(m & 1) ans=(ans*mult)%MOD; m>>=1; mult=(mult*mult)%MOD; } ans%=MOD; return ans;}
template< class T > inline T _modinv(T x) {return _bigmod(x,(T) MOD-2)%MOD;}
inline int LEN(string a) {return a.length();}
inline int LEN(char a[]) {return strlen(a);}
template< class T > inline T __lcm(T x,T y) { return x*y/__gcd(x,y);}


vector<LL> Extended_Euclid(int a, int b)
{
    LL last_x=1,last_y=0,x=0,y=1,tmp,quotient,reminder;
    while(b)
    {
        quotient=a/b;
        reminder=a%b;
        a=b;
        b=reminder;

        tmp=x;
        x=last_x-quotient*x;
        last_x=tmp;

        tmp=y;
        y=last_y-quotient*y;
        last_y=tmp;
    }
    vector<LL>res;
    res.PB(last_x);
    res.PB(last_y);
    res.PB(a);
return res;
}
int main()
{
    LL a,b;
    while(cin>>a>>b)
    {
        vector<LL>res=Extended_Euclid(a,b);
        cout<<res[0]<<" "<<res[1]<<" "<<res[2]<<endl;
    }
return 0;
}

No comments:

Post a Comment