111 lines
2.8 KiB
C++
111 lines
2.8 KiB
C++
// 定义一个有理数类。一个有理数类是一个可以表示成两个整数相除的数，如1/2、2/3、4/5。一个有理数类有两个整数成员表示：分子和分母。要求能检测分母为0问题，能化简，重载+、-、*、/运算符完成四则运算，重载“==”符号判断两个有理数是否相等
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#include <bits/stdc++.h>
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using namespace std;
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class Rational {
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private:
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int numerator;
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int denominator;
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public:
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Rational(int num, int den);
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Rational operator+(const Rational &r) const;
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Rational operator-(const Rational &r) const;
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Rational operator*(const Rational &r) const;
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Rational operator/(const Rational &r) const;
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bool operator==(const Rational &r) const;
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friend ostream &operator<<(ostream &output, const Rational &r);
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};
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Rational::Rational(int num, int den) {
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numerator = num;
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denominator = den;
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if (numerator == 0 && denominator == 0)
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;
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else if (numerator == 0)
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denominator = 1;
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else if (denominator == 0)
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numerator = 1;
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else {
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int _gcd = gcd(numerator, denominator);
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numerator /= _gcd;
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denominator /= _gcd;
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if (denominator < 0) {
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numerator *= -1;
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denominator *= -1;
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}
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}
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}
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Rational Rational::operator+(const Rational &r) const {
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int num, den;
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if (numerator != 0 && r.numerator != 0 && denominator == 0 && r.denominator == 0) {
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num = 1;
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den = 0;
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}
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else {
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num = numerator * r.denominator + r.numerator * denominator;
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den = denominator * r.denominator;
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}
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return Rational(num, den);
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}
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Rational Rational::operator-(const Rational &r) const {
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int num = numerator * r.denominator - r.numerator * denominator;
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int den = denominator * r.denominator;
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return Rational(num, den);
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}
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Rational Rational::operator*(const Rational &r) const {
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int num = numerator * r.numerator;
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int den = denominator * r.denominator;
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return Rational(num, den);
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}
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Rational Rational::operator/(const Rational &r) const {
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int num, den;
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if (denominator == 0 && r.denominator == 0) {
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num = 0;
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den = 0;
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}
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else {
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num = numerator * r.denominator;
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den = r.numerator * denominator;
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}
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return Rational(num, den);
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}
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bool Rational::operator==(const Rational &r) const {
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return numerator == r.numerator && denominator == r.denominator;
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}
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ostream &operator<<(ostream &output, const Rational &r) {
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if (r.numerator == 0 && r.denominator == 0)
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output << "NaN";
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else if (r.denominator == 0)
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output << "Inf";
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else
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output << r.numerator << " / " << r.denominator;
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return output;
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}
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int main() {
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char c;
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int num1, den1, num2, den2;
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cout << "r1 = ";
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cin >> num1 >> c >> den1;
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cout << "r2 = ";
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cin >> num2 >> c >> den2;
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Rational r1(num1, den1), r2(num2, den2);
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cout << "r1 + r2 = " << r1 + r2 << endl
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<< "r1 - r2 = " << r1 - r2 << endl
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<< "r1 * r2 = " << r1 * r2 << endl
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<< "r1 / r2 = " << r1 / r2 << endl;
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if (r1 == r2)
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cout << "r1 == r2" << endl;
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else
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cout << "r1 != r2" << endl;
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return 0;
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} |