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C++重载运算符实现分数加减乘除
来源:jb51  时间:2021/6/28 10:57:27  对本文有异议

本文实例为大家分享了C++重载运算符实现分数加减乘除的具体代码,供大家参考,具体内容如下

实现结果如下图所示:

代码如下所示:

  1. #include <iostream>
  2. using namespace std;
  3. class Rational {
  4. public:
  5. Rational operator+(Rational rhs);
  6. Rational operator-(Rational rhs);
  7. Rational operator*(Rational rhs);
  8. Rational operator/(Rational rhs);
  9. Rational(int num, int denom);
  10. private:
  11. void normalize(); //负责对分数做化简工作
  12. int numerator;//分子
  13. int denominator;//分母
  14. friend std::ostream& operator<<(ostream& os, Rational f);
  15. };
  16. Rational::Rational(int num, int denom) {
  17. numerator = num;
  18. denominator = denom;
  19. normalize();
  20. }
  21. //只允许分子为负数,若分母为负数则把负数挪到分子部分
  22. //利用欧几里得算法将分数简化
  23. void Rational::normalize() {
  24. if (denominator < 0) {
  25. numerator = -numerator;
  26. denominator = -denominator;
  27. }
  28. //欧几里得算法
  29. int a = abs(numerator);
  30. int b = abs(denominator);
  31. //求出最大公约数,a
  32. //eg: a=12,b=9.
  33. //t=3 a=9 b=3
  34. //t=0 a=3 b=0
  35. while (b > 0) {
  36. int t = a % b;//t为余数
  37. a = b; //a取除数
  38. b = t; //b取余数
  39. }
  40. //分子、分母分别处以最大公约数
  41. numerator /= a;
  42. denominator /= a;
  43. }
  44. //重载运算符函数是类的成员函数
  45. //分数是先通分再加减
  46. // a*d+b*c / b*d
  47. Rational Rational::operator+(Rational rhs) {
  48. int a = numerator;
  49. int b = denominator;
  50. int c = rhs.numerator;
  51. int d = rhs.denominator;
  52. return Rational(a*d+b*c,b*d);
  53. }
  54. Rational Rational::operator-(Rational rhs) {
  55. int a = numerator;
  56. int b = denominator;
  57. int c = rhs.numerator;
  58. int d = rhs.denominator;
  59. return Rational(a*d - b*c, b*d);
  60. /*
  61. **这里有个偷懒的写法
  62. rhs.numerator = -rhs.numerator;
  63. return operator+(rhs);
  64. */
  65. }
  66. Rational Rational::operator*(Rational rhs) {
  67. int a = numerator;
  68. int b = denominator;
  69. int c = rhs.numerator;
  70. int d = rhs.denominator;
  71. return Rational(a*c, b*d);
  72. }
  73. Rational Rational::operator/(Rational rhs) {
  74. int t = rhs.denominator;
  75. rhs.denominator = rhs.numerator;
  76. rhs.numerator = t;
  77. return operator*(rhs);
  78. }
  79. //该函数是友元函数,因此不用加空间域名
  80. ostream& operator<<(ostream& os, Rational f);
  81. int main() {
  82. Rational r1(4, 18);
  83. Rational r2(14, 18);
  84. cout << r1 << " + " << r2 << " = " << (r1 + r2) << endl;
  85. cout << r1 << " - " << r2 << " = " << (r1 - r2) << endl;
  86. cout << r1 << " * " << r2 << " = " << (r1 * r2) << endl;
  87. cout << r1 << " / " << r2 << " = " << (r1 / r2) << endl;
  88. system("pause");
  89. return 0;
  90. }
  91. ostream& operator<<(ostream& os, Rational f) {
  92. os << f.numerator << "/" << f.denominator;
  93. return os;
  94. }

以上就是本文的全部内容,希望对大家的学习有所帮助,也希望大家多多支持w3xue。

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