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| #include <iostream>
#include <exception>
#include <sstream>
#include <cmath>
#include <string>
#include <map>
using namespace std;
class Rational {
public:
Rational() {
num = 0;
den = 1;
}
Rational(int numerator, int denominator) {
if (denominator == 0) throw 1;
else if (denominator < 0) {
if (numerator < 0) {
denominator = abs(denominator);
numerator = abs(numerator);
}
else {
denominator = abs(denominator);
numerator = numerator - 2 * numerator;
}
}
if (numerator == 0) {
denominator = 1;
}
int nod = Nod(abs(numerator), abs(denominator));
num = numerator / nod;
den = denominator / nod;
}
int Numerator() const {
return num;
}
int Denominator() const {
return den;
}
private:
int num;
int den;
int Nod(int a, int b) {
while (a > 0 && b > 0) {
if (a > b) {
a %= b;
}
else {
b %= a;
}
} //while
return a + b;
}
};
bool operator == (Rational a, Rational b) {
if ((a.Numerator() == b.Numerator()) && (a.Denominator() == b.Denominator())) {
return true;
}
else {
return false;
}
}
Rational operator + (Rational a, Rational b) {
int p = (a.Numerator() * b.Denominator()) + (b.Numerator() * a.Denominator());
int q = a.Denominator() * b.Denominator();
return Rational(p, q);
}
Rational operator - (Rational a, Rational b) {
int p = (a.Numerator() * b.Denominator()) - (b.Numerator() * a.Denominator());
int q = a.Denominator() * b.Denominator();
return Rational(p, q);
}
Rational operator * (Rational a, Rational b) {
return Rational((a.Numerator()*b.Numerator()), (a.Denominator()*b.Denominator()));
}
Rational operator / (Rational a, Rational b) {
if (b.Numerator() == 0) throw 2;
return Rational((a.Numerator() * b.Denominator()), (a.Denominator() * b.Numerator()));
}
istream& operator >> (istream& stream, Rational& r) {
int p, q;
if (stream >> p && stream.ignore(1) && stream >> q) {
r = { p, q };
}
return stream;
}
ostream& operator << (ostream& stream, const Rational& r) {
stream << r.Numerator() << "/" << r.Denominator();
return stream;
}
bool operator > (Rational a, Rational b) {
return (a.Numerator() / (double)a.Denominator()) > double(b.Numerator() / (double)b.Denominator());
}
bool operator < (Rational a, Rational b) {
return (a.Numerator() / (double)a.Denominator()) < (b.Numerator() / (double)b.Denominator());
}
int main() {
try
{
Rational a, b;
char ch;
cin >> a >> ch >> b;
if (ch == '+') cout << a + b;
else if (ch == '-') cout << a - b;
else if (ch == '*') cout << a * b;
else cout << a / b;
}
catch (int f) { //ловим исключения по номеру
if (f == 1) cout << "Invalid argument";
else cout << "Division by zero";
}
return 0;
} |
