本文通过一个Java示例展示了如何创建一个Fraction类来模拟分数的加、减、乘、除运算，并确保分母不为0。Fraction类中包含了辗转相除法求最大公约数的方法，以简化分数。代码运行输出了不同分数运算的结果。
前一阵子 优快云 博客奇慢无比，今天好些了。
这里是一个模拟分数运算的例子：Fraction 类。分数运算完后要用最大公约数除分子分母。所以这里也有个用辗转相除法求最大公约数的例子。另外在构造 Fraction 对象时如果分母为零将会抛出异常，这也是必要的检查。
public class FractionTest {
public static void main(String[] args) {
Fraction a = new Fraction(7, 32);
Fraction b = new Fraction(13, 32);
System.out.println(a + " + " + b + " = " + a.add(b) + "(" + a.add(b).doubleValue() + ")");
System.out.println(a + " - " + b + " = " + a.minus(b) + "(" + a.minus(b).doubleValue() + ")");
System.out.println(a + " * " + b + " = " + a.multiply(b) + "(" + a.multiply(b).doubleValue() + ")");
System.out.println(a + " / " + b + " = " + a.devide(b) + "(" + a.devide(b).doubleValue() + ")");
}
}
// 分数
class Fraction {
private int numerator; // 分子
private int denominator; // 分母
Fraction(int numerator, int denominator) {
if (denominator == 0) {
throw new IllegalArgumentException("分母不能为 0");
}
this.numerator = numerator;
this.denominator = denominator;
shrink();
}
Fraction() {
this(0, 1);
}
public int getNumerator() {
return numerator;
}
public void setNumerator(int numerator) {
this.numerator = numerator;
}
public int getDenominator() {
return denominator;
}
public void setDenominator(int denominator) {
this.denominator = denominator;
}
// 分子分母同除以最大公约数
private Fraction shrink() {
int maxCommonDivisor = getMaxCommonDivisor(this.denominator, this.numerator);
this.numerator /= maxCommonDivisor;
this.denominator /= maxCommonDivisor;
return this;
}
// 辗转相除法求最大公约数
private int getMaxCommonDivisor(int a, int b) {
int mod = a % b;
if (mod == 0) {
return b;
} else {
return getMaxCommonDivisor(b, mod);
}
}
// 分数加法
public Fraction add(Fraction that) {
return new Fraction(this.numerator * that.denominator + this.denominator * that.numerator,
this.denominator * that.denominator);
}
// 分数减法
public Fraction minus(Fraction that) {
return new Fraction(this.numerator * that.denominator - this.denominator * that.numerator,
this.denominator * that.denominator);
}
// 分数乘法
public Fraction multiply(Fraction that) {
return new Fraction(this.numerator * that.numerator,
this.denominator * that.denominator);
}
// 分数除法
public Fraction devide(Fraction that) {
return new Fraction(this.numerator * that.denominator,
this.denominator * that.numerator);
}
public double doubleValue() {
return (double) numerator / denominator;
}
@Override
public String toString() {
return String.format("{%d/%d}", this.numerator, this.denominator);
}
}
运行输出：
{7/32} + {13/32} = {5/8}(0.625){7/32} - {13/32} = {-3/16}(-0.1875){7/32} * {13/32} = {91/1024}(0.0888671875){7/32} / {13/32} = {7/13}(0.5384615384615384)
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