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11_94.cpp
资源名称：c++ example.rar　[点击查看]
上传用户：zipjojo
上传日期：2009-07-20
资源大小：70k
文件大小：4k
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文章/文档

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C/C++

11_94.cpp：源码内容
  1. #include<math.h>
  2. #include<iostream.h>
  3. class rational
  4. {
  5. int numerator,denominator;
  6. void optimization();
  7. public:
  8. rational(int x=0,int y=1);  //声明带默认值的构造函数
  9. friend rational operator +(rational &num1,rational &num2);
  10. //声明重载运算符"+"
  11. friend rational operator -(rational &num1,rational &num2);
  12. friend rational operator *(rational &num1,rational &num2);
  13. friend rational operator /(rational &num1,rational &num2);
  14. friend bool operator==(rational &num1,rational &num2);
  15. //声明比较运算符"=="重载函数
  16. friend double real(rational& x);  //声明将分数转换为浮点数的函数
  17. friend ostream &operator<<(ostream&,rational &); //声明"<<"重载
  18. friend istream &operator>>(istream&,rational &); //声明">>"重载
  19. };
  20. void rational::optimization()
  21. {
  22. int gcd,min,max;
  23. if(numerator==0)
  24. {  //如分子为0，则置分母为1后返回
  25. denominator=1;
  26. return;
  27. }
  28. gcd=(abs(numerator)>abs(denominator)?abs(denominator):abs(numerator));
  29. if(gcd==0) return;
  30. /*//也可如此用循环求最大公约数
  31. for(max=gcd;max>1;max--)
  32. if((numerator%max==0)&&(denominator%max==0))
  33. break;
  34.   */
  35. //以下用辗转相除法求最大公约数，此方法较好
  36.     if(abs(numerator)>abs(denominator))
  37. {max=numerator;min=denominator;}
  38. else
  39. {min=numerator;max=denominator;}
  40. do{
  41. gcd=max%min;
  42. max=min;
  43. min=gcd;
  44. }while(gcd!=0);
  46. numerator/=max;
  47. denominator/=max;
  48. if(numerator<0 && denominator<0)
  49. {
  50. numerator=-numerator;
  51. denominator=-denominator;
  52. }
  53. else if(numerator<0 || denominator<0)
  54. {
  55. numerator=-abs(numerator);
  56. denominator=abs(denominator);
  57. }
  58. }
  59. rational::rational(int x,int y)
  60. {
  61. numerator=x;
  62. denominator=y;
  63. optimization();
  64. }
  65. rational operator +(rational &num1,rational &num2)
  66. {
  67. rational temp;
  68. temp.denominator=num1.denominator*num2.denominator;
  69. temp.numerator=num1.numerator*num2.denominator+
  70. num1.denominator*num2.numerator;
  71. temp.optimization();
  72. return temp;
  73. }
  74. rational operator -(rational &num1,rational &num2)
  75. {
  76. rational temp;
  77. temp.denominator=num1.denominator*num2.denominator;
  78. temp.numerator=num1.numerator*num2.denominator-
  79. num1.denominator*num2.numerator;
  80. temp.optimization();
  81. return temp;
  82. }
  83. rational operator *(rational &num1,rational &num2)
  84. {
  85. rational temp;
  86. temp.denominator=num1.denominator*num2.denominator;
  87. temp.numerator=num1.numerator*num2.numerator;
  88. temp.optimization();
  89. return temp;
  90. }
  91. rational operator /(rational &num1,rational &num2)
  92. {
  93. rational temp;
  94. temp.denominator=num1.denominator*num2.numerator;
  95. temp.numerator=num1.numerator*num2.denominator;
  96. temp.optimization();
  97. return temp;
  98. }
  99. bool operator==(rational &num1,rational &num2)
  100. {
  101. if(num1.numerator==num2.numerator && 
  102. num1.denominator==num2.denominator)
  103. return true;
  104. else 
  105. return false;
  106. }
  107. double real(rational& x)
  108. {
  109. return (double(x.numerator))/(x.denominator);
  110. }
  111. ostream &operator<<(ostream& out,rational &obj)
  112. {
  113. out<<obj.numerator;
  114. if(obj.numerator!=0 && obj.denominator!=1 &&obj.denominator!=0)
  115. cout<<"/"<<obj.denominator<<"n";
  116. else if(obj.denominator==0)
  117. cout<<"ERROR!The denominator is equal to 0.n";
  118. else cout<<"n";
  119. return out;
  120. }
  121. istream &operator>>(istream& in,rational &obj)
  122. {
  123. cout<<"Input the numerator ,denominator of the rational:n";
  124. in>>obj.numerator;
  125. in>>obj.denominator;
  126. obj.optimization();
  127. return in;
  128. }
  129. void main()
  130. {
  131. rational r1,r2,r3;
  132. cin>>r1;
  133. cin>>r2;
  134. cout<<"r1="<<r1;
  135. cout<<"r2="<<r2;
  136. r3=r1+r2;
  137. cout<<"r1+r2=";cout<<r3;
  138. r3=r1-r2;
  139. cout<<"r1-r2=";cout<<r3;
  140. r3=r1*r2;
  141. cout<<"r1*r2=";cout<<r3;
  142. r3=r1/r2;
  143. cout<<"r1/r2=";cout<<r3;
  144. if(r1==r2) 
  145. cout<<"r2 is equal to r1.n";
  146. else
  147. cout<<"r2 isn't equal to r1.n";
  148. }