Odpowiedź :
Odpowiedź:
#include <iostream>
#include <numeric>
class Rational {
int m_numerator;
int m_denominator;
public:
explicit Rational(const int &constant) : m_numerator(constant), m_denominator(1) {};
Rational(const int &numerator, const int &denominator) : m_numerator(numerator), m_denominator(denominator) {
if (denominator == 0) throw std::runtime_error("0 w mianowniku");
}
Rational(const int &constant, const int &numerator, const int &denominator) : m_numerator(numerator),
m_denominator(denominator) {
if (denominator == 0) throw std::runtime_error("0 w mianowniku");
m_numerator += constant * denominator;
}
int getNumerator() const { return m_numerator; };
int getDenominator() const { return m_denominator; };
};
void printExcluded(const Rational &rational) {
const int excluded = rational.getNumerator() / rational.getDenominator();
if (rational.getNumerator() >= rational.getDenominator() && rational.getDenominator() != 1) {
std::cout << excluded << " "
<< rational.getNumerator() - excluded * rational.getDenominator();
std::cout << '/' << rational.getDenominator();
} else if (rational.getNumerator() < rational.getDenominator() && rational.getDenominator() != 1) {
std::cout << rational.getNumerator() << '/' << rational.getDenominator();
} else {
std::cout << rational.getNumerator();
}
}
std::ostream &printExcluded(std::ostream &os, const Rational &rational) {
const int excluded = rational.getNumerator() / rational.getDenominator();
if (rational.getNumerator() >= rational.getDenominator() && rational.getDenominator() != 1) {
os << excluded << " "
<< rational.getNumerator() - excluded * rational.getDenominator()
<< '/' << rational.getDenominator();
} else if (rational.getNumerator() < rational.getDenominator() && rational.getDenominator() != 1) {
os << rational.getNumerator() << '/' << rational.getDenominator();
} else {
std::cout << rational.getNumerator();
}
return os;
}
Rational reduce(const int numerator, const int denominator) {
const int gcd = std::gcd(numerator, denominator);
return {numerator / gcd, denominator / gcd};
}
Rational operator+(const Rational &a, const Rational &b) {
const int denominator = std::lcm(a.getDenominator(), b.getDenominator());
const int numerator = a.getNumerator() * (denominator / a.getDenominator()) +
b.getNumerator() * (denominator / b.getDenominator());
return reduce(numerator, denominator);
}
Rational operator-(const Rational &a, const Rational &b) {
const int denominator = std::lcm(a.getDenominator(), b.getDenominator());
const int numerator = a.getNumerator() * (denominator / a.getDenominator()) -
b.getNumerator() * (denominator / b.getDenominator());
return reduce(numerator, denominator);
}
Rational operator*(const Rational &a, const Rational &b) {
return reduce(a.getNumerator() * b.getNumerator(), a.getDenominator() * b.getDenominator());
}
Rational operator/(const Rational &a, const Rational &b) {
return reduce(a.getNumerator() * b.getDenominator(), a.getDenominator() * b.getNumerator());
}
std::ostream &operator<<(std::ostream &os, const Rational &rational) {
return printExcluded(os, rational);
}
bool operator==(const Rational &a, const Rational &b) {
return a.getNumerator() == b.getNumerator() && a.getDenominator() == b.getDenominator();
}
double toDouble(const Rational &rational) {
return 1.0 * rational.getNumerator() / rational.getDenominator();
}
int main() {
Rational rational1(3, 4, 5);
Rational rational2(9, 2, 5);
Rational rational3(7, 2);
Rational rational4(3);
auto rational5 = Rational(4);
std::cout << rational1 + rational2 << std::endl;
std::cout << (rational1 == rational2) << std::endl;
std::cout << toDouble(rational3) << std::endl;
std::cout << rational4 + rational5<< std::endl;
printExcluded(rational3);
return 0;
}
Wyjaśnienie:
Robiłem sobie to akurat ostatnio. Zmień tylko nazwę na Ułamek
