分数类-初级版

这几天刚刚学了一些C++类的知识，像什么成员函数，非成员函数，构造函数之类的。于是就想着自己写了一个兼容整数和分数的分数类，虽然现在还不知道怎么重载+,-,*,>>等运算符，不过先写一个，以后学了再改进就是了。

代码如下：

#include<bits/stdc++.h>
using namespace std;
struct Spnumber
{
	Spnumber()=default;
	Spnumber(const int &a,const int &b):u(a),d(b){}
	Spnumber(const int &a):u(a){}
	Spnumber(istream& is)
	{
		istream &read(istream&,Spnumber&);
		read(is,*this);
	}
	Spnumber &combine(const Spnumber&other)
	{
		u=u*other.d+d*other.u;
		d*=other.d;		
		int x=__gcd(u,d);
		if(x!=0)
		{
			u/=x;
			d/=x;
		}
		return *this;
	}
	Spnumber &remove(const Spnumber&other)
	{
		u=u*other.d-d*other.u;
		d*=other.d;		
		int x=__gcd(u,d);
		if(x!=0)
		{
			u/=x;
			d/=x;
		}
		return *this;
	}
	Spnumber &multiplication(const Spnumber&other)
	{
		u*=other.u;
		d*=other.d;
		int x=__gcd(u,d);
		if(x!=0)
		{
			u/=x;
			d/=x;
		}
		return *this;
	}
	Spnumber &division(const Spnumber&other)
	{
		swap(u,d);
		u*=other.u;
		d*=other.d;
		int x=__gcd(u,d);
		if(x!=0)
		{
			u/=x;
			d/=x;
		}
		swap(u,d);
		return *this;
	}
	int u=0,d=1;
};
istream &read(istream &is,Spnumber &temp)
{
	string u;
	is>>u;
	int i,x=0;
	for(i=0;i<u.size()&&u[i]!='/';i++)
		x=(x<<1)+(x<<3)+u[i]-'0';
	temp.u=x;
	if(i==u.size())return is;
	for(++i,x=0;i<u.size();i++)
		x=(x<<1)+(x<<3)+u[i]-'0';
	temp.d=x;
	return is;
}
ostream &print(ostream &os,const Spnumber &temp)
{
	os<<temp.u;
	if(temp.u && temp.d!=1)cout<<'/'<<temp.d;
	return os;
}
// Spnumber::Spnumber(istream &is)
// {
// 	read(is,*this);
// }
Spnumber &add(const Spnumber&a1,const Spnumber&a2)
{
	Spnumber sum=a1;
	return sum.combine(a2);
}
Spnumber &Minus(const Spnumber&a1,const Spnumber&a2)
{
	Spnumber ans=a1;
	return ans.remove(a2);
}
Spnumber &multiply(const Spnumber&a1,const Spnumber&a2)
{
	Spnumber ans=a1;
	return ans.multiplication(a2);
}
Spnumber &divide(const Spnumber&a1,const Spnumber&a2)
{
	Spnumber ans=a1;
	return ans.division(a2);
}
int main()
{
	freopen("A.in","r",stdin);
	freopen("A.out","w",stdout);
	Spnumber a(cin);
	Spnumber b(cin);
	// print(cout,a);
	// cout<<endl;
	// print(cout,b);
	vector<Spnumber&(*)(const Spnumber&,const Spnumber&)>s;
	s.push_back(add);
	s.push_back(Minus);
	s.push_back(multiply);
	s.push_back(divide);
	for(auto c:s)
	{
		print(cout,c(a,b));
		cout<<endl;
	}
	return 0;
}