#include #include #include #include #include #include #include #include #include // require sort next_permutation count __gcd reverse etc. #include // require abs exit atof atoi #include // require scanf printf #include #include // require accumulate #include // require fabs #include #include #include #include // require setw #include // require stringstream #include // require memset #include // require tolower, toupper #include // require freopen #include // require srand #define rep(i,n) for(int i=0;i<(n);i++) #define ALL(A) A.begin(), A.end() #define EPS 1e-8 using namespace std; typedef long long ll; typedef pair P; int main() { ios_base::sync_with_stdio(0); int a, b, x, y; cin >> a >> b >> x >> y; int g = __gcd (a, b ); a /= g; b /= g; int ans = 0; for (int x3 = 1; x3 <= x; x3++ ){ for (int y3 = 1; y3 <= y; y3++ ){ if (b*x3 == a*y3 ){ ans = max (ans, x3 + y3 ); } // end if } // end for } // end for double ans1 = 0., ans2 = 0.; if ((double)(a*y)/(double)b <= (double)x ){ ans1 = (double)(a*y)/(double)b + (double)y; } // end if if ((double)(b*x)/(double)a <= (double)y ){ ans2 = (double)(b*x)/(double)a + (double)x; } // end if double res = (double)ans; res = max (res, ans1 ); res = max (res, ans2 ); printf ("%.9lf\n", (double)res ); return 0; }