计算有理数java_用java具体代码实现分数(即有理数)四则运算

用java具体代码实现分数(即有理数)四则运算

1，背景

Java老师布置了一个关于有理数运算的题目，因为参考书上有基本代码，所以自己主要是对书上代码做了一点优化，使其用户交互性更加友好以及代码封装性更强

2，说明:

分数也称作有理数，是我们很熟悉的一种数。有时希望程序能对分数进行四则运算，而且两个分数四则运算的结果仍然是分数。下面是具体实现

3，java代码具体实现

3.1 运算类封装

package Rational;

import java.util.StringTokenizer;

/**

* @author sunkun

* 分数四则运算

*/

public class Calculator {

int numerator; // 分子

int denominator; // 分母

Calculator(){

}

Calculator(int a,int b){

if(a == 0){

numerator = 0;

denominator = 1;

}

else{

setNumeratorAndDenominator(a,b);

}

}

void setNumeratorAndDenominator(int a, int b){ // 设置分子和分母

int c = f(Math.abs(a),Math.abs(b)); // 计算最大公约数

numerator = a / c;

denominator = b / c;

if(numerator<0 && denominator<0){

numerator = - numerator;

denominator = - denominator;

}

}

int getNumerator(){

return numerator;

}

int getDenominator(){

return denominator;

}

int f(int a,int b){ // 求a和b的最大公约数

if(a < b){

int c = a;

a = b;

b = c;

}

int r = a % b;

while(r != 0){

a = b;

b = r;;

r = a % b;

}

return b;

}

Calculator add(Calculator r){ // 加法运算

int a = r.getNumerator();

int b = r.getDenominator();

int newNumerator = numerator * b + denominator * a;

int newDenominator = denominator * b;

Calculator result = new Calculator(newNumerator,newDenominator);

return result;

}

Calculator sub(Calculator r){ // 减法运算

int a = r.getNumerator();

int b = r.getDenominator();

int newNumerator = numerator * b - denominator * a;

int newDenominator = denominator * b;

Calculator result = new Calculator(newNumerator,newDenominator);

return result;

}

Calculator muti(Calculator r){ // 乘法运算

int a = r.getNumerator();

int b = r.getDenominator();

int newNumerator = numerator * a;

int newDenominator = denominator * b;

Calculator result = new Calculator(newNumerator,newDenominator);

return result;

}

Calculator div(Calculator r){ // 除法运算

int a = r.getNumerator();

int b = r.getDenominator();

int newNumerator = numerator * b;

int newDenominator = denominator * a;

Calculator result = new Calculator(newNumerator,newDenominator);

return result;

}

// 封装了具体运算，主要为对输入进行转换，对输出封装

public static void compute(String data1,String operation,String data2){

StringTokenizer fenxi = new StringTokenizer(data1,"/");

int data1_1 = Integer.parseInt(fenxi.nextToken());

int data1_2 = Integer.parseInt(fenxi.nextToken());

fenxi = new StringTokenizer(data2,"/");

int data2_1 = Integer.parseInt(fenxi.nextToken());

int data2_2 = Integer.parseInt(fenxi.nextToken());

Calculator r1 = new Calculator(data1_1,data1_2);

Calculator r2 = new Calculator(data2_1,data2_2);

Calculator result;

int a,b;

if(operation.equals("+")){

result = r1.add(r2);

a = result.getNumerator();

b = result.getDenominator();

System.out.println(data1+" "+operation+" " +data2+" = " + a + "/" + b);

}

if(operation.equals("-")){

result = r1.sub(r2);

a = result.getNumerator();

b = result.getDenominator();

System.out.println(data1+" "+operation+" " +data2+" = " + a + "/" + b);

}

if(operation.equals("*")){

result = r1.muti(r2);

a = result.getNumerator();

b = result.getDenominator();

System.out.println(data1+" "+operation+" " +data2+" = " + a + "/" + b);

}

if(operation.equals("/")){

result = r1.div(r2);

a = result.getNumerator();

b = result.getDenominator();

System.out.println(data1+" "+operation+" " +data2+" = " + a + "/" + b);

}

}

}

3.2 测试类

package Rational;

import java.util.Scanner;

/**

* @author sunkun

* 为了测试分数四则运算

* */

public class TestCal {

public static void main(String[] args) {

// TODO Auto-generated method stub

// 用户输入两分数和运算符

Scanner input = new Scanner(System.in);

System.out.println("请用户输入第一个分数(格式a/b)");

String data1 = input.next();

System.out.println("请用户输入要进行运算的运算符(+-*/)");

String operation = input.next();

System.out.println("请用户输入第二个分数(格式c/d)");

String data2 = input.next();

// 根据用户输入进行具体运算

Calculator cal = new Calculator();

System.out.println("运算结果为:");

cal.compute(data1, operation, data2);

// }

}

}

4，实验结果

5，备注

如果您有更好的想法或建议，欢迎留言，大家共同学习，相互提高

有理数进一步运算，包括运算功能扩展，分数与小数之间的互转，会写在另一篇博客中。