#define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; class Fraction { private: long long n; // 分子(numerator) long long d; // 分母(denominator) // 約分 void reduce(){ if(d < 0){ n *= -1; d *= -1; } long long a = abs(n); long long b = d; while(b != 0){ long long tmp = a % b; a = b; b = tmp; } n /= a; d /= a; } public: Fraction(){ n = 0; d = 1; } Fraction(long long n0){ n = n0; d = 1; } Fraction(long long n0, long long d0){ n = n0; d = d0; reduce(); } pair getValue() const{ return make_pair(n, d); } const Fraction operator+(const Fraction& f) const{ return Fraction(n*f.d + d*f.n, d*f.d); } const Fraction operator-(const Fraction& f) const{ return Fraction(n*f.d - d*f.n, d*f.d); } const Fraction operator*(const Fraction& f) const{ return Fraction(n*f.n, d*f.d); } const Fraction operator/(const Fraction& f) const{ return Fraction(n*f.d, d*f.n); } bool operator<(const Fraction& f) const{ return n * f.d < f.n * d; } bool operator==(const Fraction& f) const{ return n == f.n && d == f.d; } bool operator!=(const Fraction& f) const{ return n != f.n || d != f.d; } }; // 最大公約数 long long gcd(long long a, long long b){ while(b != 0){ long long tmp = a % b; a = b; b = tmp; } return a; } // 最小公倍数 long long lcm(long long a, long long b){ return a / gcd(a, b) * b; } int main() { vector f(3); for(int i=0; i<3; ++i){ int t; cin >> t; f[i] = Fraction(1, t); } vector d(2); for(int i=0; i<2; ++i){ if(f[i] == f[i+1]){ d[i] = f[i]; } else{ if(f[i] < f[i+1]) d[i] = f[i+1] - f[i]; else d[i] = f[i] - f[i+1]; } } long long x1 = d[0].getValue().second; long long x2 = d[1].getValue().second; long long y1 = d[0].getValue().first; long long y2 = d[1].getValue().first; long long g = gcd(y1, y2); x1 *= y2 / g; x2 *= y1 / g; Fraction ans(lcm(x1, x2), y1 / g * y2); cout << ans.getValue().first << '/' << ans.getValue().second << endl; return 0; }