Java实现对有理数的加减乘除运算，以及求最大公约数并约分。

文件1：Fraction.java

public class Fraction {
int num;
int den;
}

文件2：Rational.java

public class Rational {
int a;
int b;
Fraction f = new Fraction();
boolean dowhile = true;

public Rational(int a, int b){
//约分
f.num = a;
f.den = b;
doFraction(f);

this.a = f.num;
this.b = f.den;
}

public String toString(){ //转换成分式
if (a!=b)
return Integer.toString(this.a) + '/' + Integer.toString(this.b);
else
return "1";
}
public Rational add(Rational r){ //加法运算
return new Rational(this.a * r.b + this.b * r.a,this.b * r.b);
}
public Rational subtract(Rational r){ //减法运算
return new Rational(this.a * r.b - this.b * r.a,this.b * r.b);
}
public Rational multiply(Rational r){ //乘法运算
return new Rational(this.a * r.a,this.b * r.b);
}
public Rational divide(Rational r){ //除法运算
return new Rational(this.a * r.b,this.b * r.a);
}
public String cal(){
if (a % b == 0)
return Integer.toString(a/b);
else
return String.valueOf((float)a / (float)b);
}

//约分
public void doFraction(Fraction f){
int subnum = 1;
int min = Math.min(f.num, f.den);
//找出最大公约数
for(int i=2;i<=min;i++){
if((f.num%i==0)&&(f.den%i==0)){
subnum = i;
}
}

f.num = f.num/subnum;
f.den = f.den/subnum;
}
}

文件3：RationalTest.java

public class RationalTest {
public static void main(String[] args){
Rational a = new Rational(2,3);
Rational b = new Rational(3,7);
Rational c = new Rational(5,9);
Rational s = a.add(b).add(c);

System.out.println("Calculate 1: " + a.toString() + " + " + b.toString() + " + " + c.toString() + " = " + s.toString());
System.out.println("Calculate 2: " + a.toString() + " + " + b.toString() + " + " + c.toString() + " = " + s.cal());

Rational i = new Rational(3,4);
Rational j = new Rational(2,3);
Rational k = i.multiply(j);
System.out.println(k.toString() + " --> " + k.cal());
//约分
Rational sum = new Rational(52,68);
System.out.println(sum.toString());
}
}

Output Test Result:

Calculate 1: 2/3 + 3/7 + 5/9 = 104/63
Calculate 2: 2/3 + 3/7 + 5/9 = 1.6507937
1/2 --> 0.5
13/17