|
|
|
@ -5,10 +5,10 @@
|
|
|
|
|
using namespace std;
|
|
|
|
|
|
|
|
|
|
class fraction {
|
|
|
|
|
private:
|
|
|
|
|
private:
|
|
|
|
|
signed long long n = 0;
|
|
|
|
|
signed long long d = 1;
|
|
|
|
|
signed long long gcd (signed long long a, signed long long b) const {
|
|
|
|
|
signed long long gcd(signed long long a, signed long long b) const {
|
|
|
|
|
if (b == 0) {
|
|
|
|
|
return a;
|
|
|
|
|
}
|
|
|
|
@ -17,41 +17,41 @@ class fraction {
|
|
|
|
|
int get_precision(double a) {
|
|
|
|
|
string s = to_string(a);
|
|
|
|
|
int i = s.length() - 1;
|
|
|
|
|
while (s[i] == '0'){
|
|
|
|
|
while (s[i] == '0') {
|
|
|
|
|
i--;
|
|
|
|
|
}
|
|
|
|
|
s.erase(i+1,s.length());
|
|
|
|
|
s.erase(i + 1, s.length());
|
|
|
|
|
bool point = false;
|
|
|
|
|
int count = 0;
|
|
|
|
|
for(int i = 0; i < s.length(); i++) {
|
|
|
|
|
if(s[i] == '.') {
|
|
|
|
|
for (int i = 0; i < s.length(); i++) {
|
|
|
|
|
if (s[i] == '.') {
|
|
|
|
|
point = true;
|
|
|
|
|
} else {
|
|
|
|
|
if(point) {
|
|
|
|
|
if (point) {
|
|
|
|
|
count++;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
return count;
|
|
|
|
|
}
|
|
|
|
|
public:
|
|
|
|
|
|
|
|
|
|
public:
|
|
|
|
|
// Constructors
|
|
|
|
|
fraction() {
|
|
|
|
|
}
|
|
|
|
|
fraction() {}
|
|
|
|
|
fraction(const fraction &q) {
|
|
|
|
|
signed long long hcf = gcd(q.n,q.d);
|
|
|
|
|
signed long long hcf = gcd(q.n, q.d);
|
|
|
|
|
n = q.n / hcf;
|
|
|
|
|
d = q.d / hcf;
|
|
|
|
|
}
|
|
|
|
|
fraction(signed long long a, signed long long b) {
|
|
|
|
|
signed long long hcf = gcd(a,b);
|
|
|
|
|
signed long long hcf = gcd(a, b);
|
|
|
|
|
n = a / hcf;
|
|
|
|
|
d = b / hcf;
|
|
|
|
|
}
|
|
|
|
|
fraction(int a, int b) {
|
|
|
|
|
signed long long hcf = gcd(a,b);
|
|
|
|
|
n = (signed long long) a / hcf;
|
|
|
|
|
d = (signed long long) b / hcf;
|
|
|
|
|
signed long long hcf = gcd(a, b);
|
|
|
|
|
n = (signed long long)a / hcf;
|
|
|
|
|
d = (signed long long)b / hcf;
|
|
|
|
|
}
|
|
|
|
|
fraction(int a) {
|
|
|
|
|
fraction q(a, 1);
|
|
|
|
@ -61,7 +61,7 @@ class fraction {
|
|
|
|
|
fraction(double dec) {
|
|
|
|
|
int precision = get_precision(dec);
|
|
|
|
|
signed long long denominator = 1;
|
|
|
|
|
for(int i = 0; i < precision; i++) {
|
|
|
|
|
for (int i = 0; i < precision; i++) {
|
|
|
|
|
denominator *= 10;
|
|
|
|
|
}
|
|
|
|
|
signed long long numerator = dec * denominator;
|
|
|
|
@ -70,17 +70,11 @@ class fraction {
|
|
|
|
|
d = q.d;
|
|
|
|
|
}
|
|
|
|
|
// Member functions
|
|
|
|
|
int get_sign() const {
|
|
|
|
|
return (!(n >= 0) != !(d >=0)) ? -1 : 1;
|
|
|
|
|
}
|
|
|
|
|
signed long long get_n() const {
|
|
|
|
|
return n;
|
|
|
|
|
}
|
|
|
|
|
signed long long get_d() const {
|
|
|
|
|
return d;
|
|
|
|
|
}
|
|
|
|
|
int get_sign() const { return (!(n >= 0) != !(d >= 0)) ? -1 : 1; }
|
|
|
|
|
signed long long get_n() const { return n; }
|
|
|
|
|
signed long long get_d() const { return d; }
|
|
|
|
|
double to_double() const {
|
|
|
|
|
double dec = (double) n / (double) d ;
|
|
|
|
|
double dec = (double)n / (double)d;
|
|
|
|
|
return dec;
|
|
|
|
|
}
|
|
|
|
|
// Operators
|
|
|
|
@ -109,59 +103,59 @@ class fraction {
|
|
|
|
|
return q;
|
|
|
|
|
}
|
|
|
|
|
fraction operator/(const fraction &that) const {
|
|
|
|
|
fraction a(this->n,this->d);
|
|
|
|
|
fraction b(that.d,that.n);
|
|
|
|
|
fraction a(this->n, this->d);
|
|
|
|
|
fraction b(that.d, that.n);
|
|
|
|
|
return a * b;
|
|
|
|
|
}
|
|
|
|
|
friend ostream &operator<<( ostream &os, const fraction &q ) {
|
|
|
|
|
friend ostream &operator<<(ostream &os, const fraction &q) {
|
|
|
|
|
signed long long num = q.n;
|
|
|
|
|
signed long long den = q.d;
|
|
|
|
|
string s = "";
|
|
|
|
|
if(q.n < 0) {
|
|
|
|
|
if (q.n < 0) {
|
|
|
|
|
s = "-";
|
|
|
|
|
num = num * -1;
|
|
|
|
|
}
|
|
|
|
|
if(q.d < 0) {
|
|
|
|
|
if (q.d < 0) {
|
|
|
|
|
s = "-";
|
|
|
|
|
den = den * -1;
|
|
|
|
|
}
|
|
|
|
|
if(q.get_sign() == 1) {
|
|
|
|
|
if (q.get_sign() == 1) {
|
|
|
|
|
string s = "";
|
|
|
|
|
}
|
|
|
|
|
if( q.d == q.n) {
|
|
|
|
|
if (q.d == q.n) {
|
|
|
|
|
os << s << 1;
|
|
|
|
|
} else if(q.d == 1) {
|
|
|
|
|
} else if (q.d == 1) {
|
|
|
|
|
os << s << num;
|
|
|
|
|
} else {
|
|
|
|
|
os << s << '(' << num << '/' << den << ')';
|
|
|
|
|
}
|
|
|
|
|
return os;
|
|
|
|
|
}
|
|
|
|
|
void operator=(const fraction &q ) {
|
|
|
|
|
void operator=(const fraction &q) {
|
|
|
|
|
n = q.n;
|
|
|
|
|
d = q.d;
|
|
|
|
|
}
|
|
|
|
|
void operator=(const int i ) {
|
|
|
|
|
n = (signed long long) i;
|
|
|
|
|
d = (signed long long) 1;
|
|
|
|
|
void operator=(const int i) {
|
|
|
|
|
n = (signed long long)i;
|
|
|
|
|
d = (signed long long)1;
|
|
|
|
|
}
|
|
|
|
|
void operator=(const double dec ) {
|
|
|
|
|
void operator=(const double dec) {
|
|
|
|
|
const fraction q(dec);
|
|
|
|
|
n = q.n;
|
|
|
|
|
d = q.d;
|
|
|
|
|
}
|
|
|
|
|
bool operator>(const fraction &q ) const {
|
|
|
|
|
signed long long hcf = gcd(d,q.d);
|
|
|
|
|
bool operator>(const fraction &q) const {
|
|
|
|
|
signed long long hcf = gcd(d, q.d);
|
|
|
|
|
fraction a(*this * hcf);
|
|
|
|
|
fraction b(q * hcf);
|
|
|
|
|
return (a.n > b.n);
|
|
|
|
|
}
|
|
|
|
|
bool operator>(const int i ) const {
|
|
|
|
|
bool operator>(const int i) const {
|
|
|
|
|
fraction q(i);
|
|
|
|
|
return (*this > q);
|
|
|
|
|
}
|
|
|
|
|
bool operator==(const fraction &q ) const {
|
|
|
|
|
return ((n == q.n) && (d == q.d) );
|
|
|
|
|
bool operator==(const fraction &q) const {
|
|
|
|
|
return ((n == q.n) && (d == q.d));
|
|
|
|
|
}
|
|
|
|
|
bool operator==(const int i) const {
|
|
|
|
|
fraction q(i);
|
|
|
|
@ -171,8 +165,8 @@ class fraction {
|
|
|
|
|
fraction q(dec);
|
|
|
|
|
return (*this == q);
|
|
|
|
|
}
|
|
|
|
|
bool operator!=(const fraction &q ) const {
|
|
|
|
|
return ( (n != q.n) || (d != q.d) );
|
|
|
|
|
bool operator!=(const fraction &q) const {
|
|
|
|
|
return ((n != q.n) || (d != q.d));
|
|
|
|
|
}
|
|
|
|
|
bool operator!=(const int i) const {
|
|
|
|
|
fraction q(i);
|
|
|
|
|