2a8b395e2e 2012-03-07        kinaba: #include <iostream>
2a8b395e2e 2012-03-07        kinaba: #include <sstream>
2a8b395e2e 2012-03-07        kinaba: #include <iomanip>
2a8b395e2e 2012-03-07        kinaba: #include <vector>
2a8b395e2e 2012-03-07        kinaba: #include <string>
2a8b395e2e 2012-03-07        kinaba: #include <map>
2a8b395e2e 2012-03-07        kinaba: #include <set>
2a8b395e2e 2012-03-07        kinaba: #include <algorithm>
2a8b395e2e 2012-03-07        kinaba: #include <numeric>
2a8b395e2e 2012-03-07        kinaba: #include <iterator>
2a8b395e2e 2012-03-07        kinaba: #include <functional>
2a8b395e2e 2012-03-07        kinaba: #include <complex>
2a8b395e2e 2012-03-07        kinaba: #include <queue>
2a8b395e2e 2012-03-07        kinaba: #include <stack>
2a8b395e2e 2012-03-07        kinaba: #include <cmath>
2a8b395e2e 2012-03-07        kinaba: #include <cassert>
2a8b395e2e 2012-03-07        kinaba: #include <cstring>
2a8b395e2e 2012-03-07        kinaba: #ifdef __GNUC__
2a8b395e2e 2012-03-07        kinaba: #include <ext/hash_map>
2a8b395e2e 2012-03-07        kinaba: #define unordered_map __gnu_cxx::hash_map
2a8b395e2e 2012-03-07        kinaba: #else
2a8b395e2e 2012-03-07        kinaba: #include <unordered_map>
2a8b395e2e 2012-03-07        kinaba: #endif
2a8b395e2e 2012-03-07        kinaba: using namespace std;
2a8b395e2e 2012-03-07        kinaba: typedef long long LL;
2a8b395e2e 2012-03-07        kinaba: typedef complex<double> CMP;
2a8b395e2e 2012-03-07        kinaba: 
2a8b395e2e 2012-03-07        kinaba: LL gcd(LL a, LL b)
2a8b395e2e 2012-03-07        kinaba: {
2a8b395e2e 2012-03-07        kinaba: 	while(a)
2a8b395e2e 2012-03-07        kinaba: 		swap(a, b%=a);
2a8b395e2e 2012-03-07        kinaba: 	return b;
2a8b395e2e 2012-03-07        kinaba: }
2a8b395e2e 2012-03-07        kinaba: 
2a8b395e2e 2012-03-07        kinaba: class FoxAndGCDLCM { public:
2a8b395e2e 2012-03-07        kinaba: 	long long get(long long G, long long L)
2a8b395e2e 2012-03-07        kinaba: 	{
2a8b395e2e 2012-03-07        kinaba: 		if( L%G != 0 )
2a8b395e2e 2012-03-07        kinaba: 			return -1;
2a8b395e2e 2012-03-07        kinaba: 		LL best = -1;
2a8b395e2e 2012-03-07        kinaba: 		LL z = L / G;
2a8b395e2e 2012-03-07        kinaba: 		for(LL p=1; p*p<=z; ++p)
2a8b395e2e 2012-03-07        kinaba: 			if( z%p==0 && gcd(p,z/p)==1 ) {
2a8b395e2e 2012-03-07        kinaba: 				LL A = G*p;
2a8b395e2e 2012-03-07        kinaba: 				LL B = G*(z/p);
2a8b395e2e 2012-03-07        kinaba: 				if( best == -1 || best > A+B )
2a8b395e2e 2012-03-07        kinaba: 					best = A+B;
2a8b395e2e 2012-03-07        kinaba: 			}
2a8b395e2e 2012-03-07        kinaba: 		return best;
2a8b395e2e 2012-03-07        kinaba: 	}
2a8b395e2e 2012-03-07        kinaba: };
2a8b395e2e 2012-03-07        kinaba: 
2a8b395e2e 2012-03-07        kinaba: // BEGIN CUT HERE
2a8b395e2e 2012-03-07        kinaba: #include <ctime>
2a8b395e2e 2012-03-07        kinaba: double start_time; string timer()
2a8b395e2e 2012-03-07        kinaba:  { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
2a8b395e2e 2012-03-07        kinaba: template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
2a8b395e2e 2012-03-07        kinaba:  { os << "{ ";
2a8b395e2e 2012-03-07        kinaba:    for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
2a8b395e2e 2012-03-07        kinaba:    os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
2a8b395e2e 2012-03-07        kinaba: void verify_case(const long long& Expected, const long long& Received) {
2a8b395e2e 2012-03-07        kinaba:  bool ok = (Expected == Received);
2a8b395e2e 2012-03-07        kinaba:  if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
2a8b395e2e 2012-03-07        kinaba:  cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
2a8b395e2e 2012-03-07        kinaba: #define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
2a8b395e2e 2012-03-07        kinaba: #define END	 verify_case(_, FoxAndGCDLCM().get(G, L));}
2a8b395e2e 2012-03-07        kinaba: int main(){
2a8b395e2e 2012-03-07        kinaba: 
2a8b395e2e 2012-03-07        kinaba: CASE(0)
2a8b395e2e 2012-03-07        kinaba: 	long long G = 2LL;
2a8b395e2e 2012-03-07        kinaba: 	long long L = 20LL;
2a8b395e2e 2012-03-07        kinaba: 	long long _ = 14LL;
2a8b395e2e 2012-03-07        kinaba: END
2a8b395e2e 2012-03-07        kinaba: CASE(1)
2a8b395e2e 2012-03-07        kinaba: 	long long G = 5LL;
2a8b395e2e 2012-03-07        kinaba: 	long long L = 8LL;
2a8b395e2e 2012-03-07        kinaba: 	long long _ = -1LL;
2a8b395e2e 2012-03-07        kinaba: END
2a8b395e2e 2012-03-07        kinaba: CASE(2)
2a8b395e2e 2012-03-07        kinaba: 	long long G = 1000LL;
2a8b395e2e 2012-03-07        kinaba: 	long long L = 100LL;
2a8b395e2e 2012-03-07        kinaba: 	long long _ = -1LL;
2a8b395e2e 2012-03-07        kinaba: END
2a8b395e2e 2012-03-07        kinaba: CASE(3)
2a8b395e2e 2012-03-07        kinaba: 	long long G = 100LL;
2a8b395e2e 2012-03-07        kinaba: 	long long L = 1000LL;
2a8b395e2e 2012-03-07        kinaba: 	long long _ = 700LL;
2a8b395e2e 2012-03-07        kinaba: END
2a8b395e2e 2012-03-07        kinaba: CASE(4)
2a8b395e2e 2012-03-07        kinaba: 	long long G = 10LL;
2a8b395e2e 2012-03-07        kinaba: 	long long L = 950863963000LL;
2a8b395e2e 2012-03-07        kinaba: 	long long _ = 6298430LL;
2a8b395e2e 2012-03-07        kinaba: END
2a8b395e2e 2012-03-07        kinaba: /*
2a8b395e2e 2012-03-07        kinaba: CASE(5)
2a8b395e2e 2012-03-07        kinaba: 	long long G = LL;
2a8b395e2e 2012-03-07        kinaba: 	long long L = LL;
2a8b395e2e 2012-03-07        kinaba: 	long long _ = LL;
2a8b395e2e 2012-03-07        kinaba: END
2a8b395e2e 2012-03-07        kinaba: CASE(6)
2a8b395e2e 2012-03-07        kinaba: 	long long G = LL;
2a8b395e2e 2012-03-07        kinaba: 	long long L = LL;
2a8b395e2e 2012-03-07        kinaba: 	long long _ = LL;
2a8b395e2e 2012-03-07        kinaba: END
2a8b395e2e 2012-03-07        kinaba: */
2a8b395e2e 2012-03-07        kinaba: }
2a8b395e2e 2012-03-07        kinaba: // END CUT HERE