您的位置：首页 > 编程语言 > Java开发

用java实现分数各种运算(加减乘除，求余，求幂，求两个数中的较大值，较小值)

2013-10-08 22:36 567 查看

用java实现分数各种运算(加减乘除，求余，求幂，求两个数中的较大值，较小值)

1，要求

用户以分数形式输入，以分数形式输出，用java语言实现分数中的各种运算(加减乘除，求余，求幂，求两个数中的较大值，较小值）

2，java代码（+详细注释）

2.1 代码

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;
}

static Calculator qiuyu(double left,double right){ // 求余运算
double point_result = Math.IEEEremainder(left, right);
int r1 = (int)point_result;
double r2 = point_result - r1;
int newNumerator = r1*10000 + (int)(r2*10000);
int newDenominator = 10000;
Calculator result = new Calculator(newNumerator,newDenominator);
return result;
}

static Calculator pow(double left,double right){ // 求幂运算left^right
double point_result = Math.pow(left, right);
int r1 = (int)point_result;
double r2 = point_result - r1;
int newNumerator = r1*10000 + (int)(r2*10000);
int newDenominator = 10000;
Calculator result = new Calculator(newNumerator,newDenominator);
return result;
}

static Calculator max(double left,double right){ // 求两数中的较大值
double point_result = Math.min(left, right);
int r1 = (int)point_result;
double r2 = point_result - r1;
int newNumerator = r1*10000 + (int)(r2*10000);
int newDenominator = 10000;
Calculator result = new Calculator(newNumerator,newDenominator);
return result;
}

static Calculator min(double left,double right){ // 求两数中的较小值
double point_result = Math.min(left, right);
int r1 = (int)point_result;
double r2 = point_result - r1;
int newNumerator = r1*10000 + (int)(r2*10000);
int newDenominator = 10000;
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("+")){ // 两数相加
result = r1.add(r2);
a = result.getNumerator();
b = result.getDenominator();
System.out.println(data1+" "+operation+" " +data2+" = " + a + "/" + b);
}

if(operation.equals("-")){ // 两数相减
result = r1.sub(r2);
a = result.getNumerator();
b = result.getDenominator();
System.out.println(data1+" "+operation+" " +data2+" = " + a + "/" + b);
}

if(operation.equals("*")){ // 两数相乘
result = r1.muti(r2);
a = result.getNumerator();
b = result.getDenominator();
System.out.println(data1+" "+operation+" " +data2+" = " + a + "/" + b);
}

if(operation.equals("/")){ // 两数相除
result = r1.div(r2);
a = result.getNumerator();
b = result.getDenominator();
System.out.println(data1+" "+operation+" " +data2+" = " + a + "/" + b);
}

if(operation.equals("%")){ // 两数求余
double left = (double)data1_1/(double)data1_2;
double right = (double)data2_1/(double)data2_2;
result = qiuyu(left,right);
a = result.getNumerator();
b = result.getDenominator();
System.out.println(data1+" "+operation+" " +data2+" = " + a + "/" + b);
}

if(operation.equals("^")){ // 两数求幂
double left = (double)data1_1/(double)data1_2;
double right = (double)data2_1/(double)data2_2;
result = pow(left,right);
a = result.getNumerator();
b = result.getDenominator();
System.out.println(data1+" "+operation+" " +data2+" = " + a + "/" + b);
}

if(operation.equals("max")){ // 两数中的较大值
double left = (double)data1_1/(double)data1_2;
double right = (double)data2_1/(double)data2_2;
result = max(left,right);
a = result.getNumerator();
b = result.getDenominator();
System.out.println(data1+" "+operation+" " +data2+" = " + a + "/" + b);
}

if(operation.equals("min")){ // 两数中的较小值
double left = (double)data1_1/(double)data1_2;
double right = (double)data2_1/(double)data2_2;
result = min(left,right);
a = result.getNumerator();
b = result.getDenominator();
System.out.println(data1+" "+operation+" " +data2+" = " + a + "/" + b);
}
}
}

package Rational;

import java.util.Scanner;
/**
* @author SunKun
* 分数各种运算的主函数
* */
public class TestCal {
public static void main(String[] args) {
// TODO Auto-generated method stub
while(true){

// 用户输入两分数和运算符
System.out.println("---------------------------------");
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("加减乘除:+-*/,求余求幂:%,^,求两数中较大值较小值max,min");
System.out.println("请用户输入要进行运算的运算符符号");
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);
}
}
}

2.2 测试代码

public class Test1{
/**
* @author SunKun
* 测试所进行的分数各种运算
*/
public static void main(String[] args) {
// 测试所用数据
double data1 = 0.25;
double data2 = 0.2;

// java自带类库
double result1 = data1 + data2;  // 加
double result2 = data1 - data2;  // 减
double result3 = data1 * data2;  // 乘
double result4 = data1 / data2;  // 除
double result5 = Math.IEEEremainder(data1, data2);  // 求余
double result6 = Math.pow(data1,data2);  // 求幂
double result7 = Math.max(data1, data2);  // 求两数中的较大值
double result8 = Math.min(data1, data2);  // 求两数中的较小值

// 输出运算结果
System.out.println(data1 + " + " + data2 + " = " + result1);
System.out.println(data1 + " - " + data2 + " = " + result2);
System.out.println(data1 + " * " + data2 + " = " + result3);
System.out.println(data1 + " / " + data2 + " = " + result4);
System.out.println(data1 + " % " + data2 + " = " + result5);
System.out.println(data1 + " ^ " + data2 + " = " + result6);
System.out.println(data1 + " max " + data2 + " = " + result7);
System.out.println(data1 + " min " + data2 + " = " + result8);
}
}