// コメント修正して再提出. #include using namespace std; typedef long long LL; int main() { // 1. 入力情報取得. LL T1, T2, T3; cin >> T1 >> T2 >> T3; // 2. P3固定で考えてみる. // P1, P3 の 速さの差分 … (L / T1 - L / T3) -> T13 = L / (L / T1 - L / T3) = (T1 * T3) / (T3 - T1)[秒] で, 1周差. // P2, P3 の 速さの差分 … (L / T2 - L / T3) -> T23 = L / (L / T2 - L / T3) = (T2 * T3) / (T3 - T2)[秒] で, 1周差. LL molT13 = T1 * T3, denT13 = T3 - T1, molT23 = T2 * T3, denT23 = T3 - T2; // 3. T13(= molT13 / denT13), T23(= molT23 / denT23) の 約分. LL gcd13 = __gcd(molT13, denT13); molT13 /= gcd13, denT13 /= gcd13; LL gcd23 = __gcd(molT23, denT23); molT23 /= gcd23, denT23 /= gcd23; // 4. T13, T23 の 通分. LL gcdDenT123 = __gcd(denT13, denT23); LL lcmDenT123 = denT13 / gcdDenT123 * denT23; molT13 *= (lcmDenT123 / denT13), molT23 *= (lcmDenT123 / denT23); // 5. T13, T23 の 分子 の 最小公倍数. LL gcdMolT123 = __gcd(molT13, molT23); LL lcmMolT123 = molT13 / gcdMolT123 * molT23; // 6. 分子・分母 の 約分 ~ 後処理. // ex. // [入力例] // 3003 // 5005 // 7007 // -> 105105/2 と思われる. LL molLCM = lcmMolT123; LL denLCM = lcmDenT123; LL gcd123 = __gcd(lcmMolT123, lcmDenT123); molLCM /= gcd123, denLCM /= gcd123; cout << molLCM << "/" << denLCM << endl; return 0; }