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10_81.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：3k
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文章/文档

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C/C++

10_81.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. void print();
  10. friend rational operator +(rational &num1,rational &num2);
  11. //声明重载运算符"+"
  12. friend rational operator -(rational &num1,rational &num2);
  13. friend rational operator *(rational &num1,rational &num2);
  14. friend rational operator /(rational &num1,rational &num2);
  15. friend bool operator==(rational &num1,rational &num2);
  16. //声明比较运算符"=="重载函数
  17. friend double real(rational& x);  //声明将分数转换为浮点数的函数
  18. };
  19. void rational::optimization()
  20. {
  21. int gcd,min,max;
  22. if(numerator==0)
  23. {  //如分子为0，则置分母为1后返回
  24. denominator=1;
  25. return;
  26. }
  27. gcd=(abs(numerator)>abs(denominator)?abs(denominator):abs(numerator));
  28. if(gcd==0) return;
  29. /*//也可如此用循环求最大公约数
  30. for(max=gcd;max>1;max--)
  31. if((numerator%max==0)&&(denominator%max==0))
  32. break;
  33.   */
  34. //以下用辗转相除法求最大公约数，此方法较好
  35.     if(abs(numerator)>abs(denominator))
  36. {max=numerator;min=denominator;}
  37. else
  38. {min=numerator;max=denominator;}
  39. do{
  40. gcd=max%min;
  41. max=min;
  42. min=gcd;
  43. }while(gcd!=0);
  45. numerator/=max;
  46. denominator/=max;
  47. if(numerator<0 && denominator<0)
  48. {
  49. numerator=-numerator;
  50. denominator=-denominator;
  51. }
  52. else if(numerator<0 || denominator<0)
  53. {
  54. numerator=-abs(numerator);
  55. denominator=abs(denominator);
  56. }
  57. }
  58. rational::rational(int x,int y)
  59. {
  60. numerator=x;
  61. denominator=y;
  62. optimization();
  63. }
  64. void rational::print()
  65. {
  66. cout<<numerator;
  67. if(numerator!=0 && denominator!=1 &&denominator!=0)
  68. cout<<"/"<<denominator<<"n";
  69. else if(denominator==0)
  70. cout<<"ERROR!The denominator is equal to 0.n";
  71. else cout<<"n";
  72. }
  73. rational operator +(rational &num1,rational &num2)
  74. {
  75. rational temp;
  76. temp.denominator=num1.denominator*num2.denominator;
  77. temp.numerator=num1.numerator*num2.denominator+
  78. num1.denominator*num2.numerator;
  79. temp.optimization();
  80. return temp;
  81. }
  82. rational operator -(rational &num1,rational &num2)
  83. {
  84. rational temp;
  85. temp.denominator=num1.denominator*num2.denominator;
  86. temp.numerator=num1.numerator*num2.denominator-
  87. num1.denominator*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.denominator;
  95. temp.numerator=num1.numerator*num2.numerator;
  96. temp.optimization();
  97. return temp;
  98. }
  99. rational operator /(rational &num1,rational &num2)
  100. {
  101. rational temp;
  102. temp.denominator=num1.denominator*num2.numerator;
  103. temp.numerator=num1.numerator*num2.denominator;
  104. temp.optimization();
  105. return temp;
  106. }
  107. bool operator==(rational &num1,rational &num2)
  108. {
  109. if(num1.numerator==num2.numerator && 
  110. num1.denominator==num2.denominator)
  111. return true;
  112. else 
  113. return false;
  114. }
  115. double real(rational& x)
  116. {
  117. return (double(x.numerator))/(x.denominator);
  118. }
  119. void main()
  120. {
  121. rational r1(2,8),r2(23,45),r3,r4(-63,789);
  122. cout<<"r1=";r1.print();
  123. cout<<"r2=";r2.print();
  124. cout<<"r3=";r3.print();
  125. cout<<"r4=";r4.print();
  126. r3=r1+r2;
  127. cout<<"r1+r2=";r3.print();
  128. r3=r1-r2;
  129. cout<<"r1-r2=";r3.print();
  130. r3=r1*r2;
  131. cout<<"r1*r2=";r3.print();
  132. r3=r1/r2;
  133. cout<<"r1/r2=";r3.print();
  134. cout<<"r1="<<real(r1)<<" r2="<<real(r2)<<" r3="<<real(r3)<<" r4="<<real(r4)<<'n';
  135. if(r2==r4) 
  136. cout<<"r2 is equal to r4.n";
  137. else
  138. cout<<"r2 isn't equal to r4.n";
  139. }