package lianxi1;

//201621123070 陈伟杰

public class Rational {

int numerator; //分子

int denominator; //分母

Rational(int a,int b){

if(a==0){

numerator=0;

denominator=0;

}

else{

setNumeratorAndDenominator(a,b);

}

}

void setNumeratorAndDenominator(int a,int b){

int c=gcd(Math.abs(a),Math.abs(b));

numerator=a/c;

denominator=b/c;

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

numerator=-numerator;

denominator=-denominator;

}

}

int getNumerator(){

return numerator;

}

int getDenominator(){

return denominator;

}

int gcd(int a,int b)

{

if(a

{

int c=a;

a=b;

b=c;

}

int r=a%b;

while(r!=0)

{

a=b;

b=r;

r=a%b;

}

return b;

}

Rational add(Rational r)

{

int a=r.getNumerator();

int b=r.getDenominator();

int newNumerator=numerator*b+denominator*a;

int newDenominator=denominator*b;

Rational result=new Rational(newNumerator,newDenominator);

return result;

}

Rational sub(Rational r)

{

int a=r.getNumerator();

int b=r.getDenominator();

int newNumerator=numerator*b-denominator*a;

int newDenominator=denominator*b;

Rational result=new Rational(newNumerator,newDenominator);

return result;

}

Rational muti(Rational r)

{

int a=r.getNumerator();

int b=r.getDenominator();

int newNumerator=numerator*a;

int newDenominator=denominator*b;

Rational result=new Rational(newNumerator,newDenominator);

return result;

}

Rational div(Rational r)

{

int a=r.getNumerator();

int b=r.getDenominator();

int newNumerator=numerator*b;

int newDenominator=denominator*a;

Rational result=new Rational(newNumerator,newDenominator);

return result;

}

}

mport java.util.Scanner;

public class Rational_main {

public static void main(String[] args) {

Scanner in = new Scanner(System.in

);

int Numerator1,Denominator1,Numerator2,Denominator2;

System.out.print("请输入第一个有理数的分子和分母，用空格隔开：");

Numerator1=in.nextInt();

Denominator1=in.nextInt();

System.out.print("请输入第二个有理数的分子和分母，用空格隔开：");

Numerator2=in.nextInt();

Denominator2=in.nextInt();

Rational firstRational=new Rational(Numerator1,Denominator1);

Rational secondRational=new Rational(Numerator2,Denominator2);

//加

Rational resultRational=firstRational.add(secondRational);

int resultNumerator=resultRational.getNumerator();

int resultDenominator=resultRational.getDenominator();

System.out.println(Numerator1+"/"+Denominator1+"+"+Numerator2+"/"+Denominator2+"="+resultNumerator+"/"+resultDenominator);

//减

resultRational=firstRational.sub(secondRational);

resultNumerator=resultRational.getNumerator();

resultDenominator=resultRational.getDenominator();

System.out.println(Numerator1+"/"+Denominator1+"-"+Numerator2+"/"+Denominator2+"="+resultNumerator+"/"+resultDenominator);

//乘

resultRational=firstRational.muti(secondRational);

resultNumerator=resultRational.getNumerator();

resultDenominator=resultRational.getDenominator();

System.out.println(Numerator1+"/"+Denominator1+"*"+Numerator2+"/"+Denominator2+"="+resultNumerator+"/"+resultDenominator);

//除

resultRational=firstRational.div(secondRational);

resultNumerator=resultRational.getNumerator();

resultDenominator=resultRational.getDenominator();

System.out.println(Numerator1+"/"+Denominator1+"/"+Numerator2+"/"+Denominator2+"="+resultNumerator+"/"+resultDenominator);

}

}

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