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Feb 19th, 2019
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  1. #include <iostream>
  2. #include <cmath>
  3.  
  4.  
  5. class Rational{
  6.     int a, b;
  7.  
  8.     int nod(int t, int s) const {
  9.             while (s) {
  10.                 t %= s;
  11.                 std::swap(t, s);
  12.             }
  13.             return abs(t);
  14.     }
  15.  
  16.     void rev_com_div() {
  17.         if (b < 0) {
  18.             a *= -1;
  19.             b *= -1;
  20.         }
  21.         int s = nod(a, b);
  22.         a /= s;
  23.         b /= s;
  24.     }
  25.  
  26. public:
  27.     Rational(int a = 0, int b = 1) : a(a), b(b)
  28.     {
  29.         rev_com_div();
  30.     }
  31.  
  32.     Rational(Rational const& s) : a(s.a), b(s.b)
  33.     {
  34.         rev_com_div();
  35.     }
  36.  
  37.     Rational & Add(Rational const& s) {
  38.         a = a * s.b + b * s.a;
  39.         b = b * s.b;
  40.         rev_com_div();
  41.         return *this;
  42.     }
  43.  
  44.     Rational & Substract(Rational const& s) {
  45.         a = a * s.b - b * s.a;
  46.         b = b * s.b;
  47.         rev_com_div();
  48.         return *this;
  49.     }
  50.  
  51.     Rational & Multiply(Rational const& s) {
  52.         a *= s.a;
  53.         b *= s.b;
  54.         rev_com_div();
  55.         return *this;
  56.     }
  57.  
  58.     Rational & Divide(Rational const& s) {
  59.         a *= s.b;
  60.         b *= s.a;
  61.         rev_com_div();
  62.         return *this;
  63.     }
  64.  
  65.     bool EqualTo(Rational const& s) const {
  66.         return a == s.a && b == s.b;
  67.     }
  68.  
  69.     int CompareTo(Rational const& s) const {
  70.         int sum = a * s.b - s.a * b;
  71.         return sum;
  72.     }
  73.  
  74.     bool IsInteger() const {
  75.         return b == 1;
  76.     }
  77.  
  78.     std::string ToString() const {
  79.         return std::to_string(a) + ":" + std::to_string(b);
  80.     }
  81.  
  82. };
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