C++大整数类

用法

把头文件和源代码文件放在同一目录下，然后#include"INT"即可使用。你能对int类的变量进行a=2,a+=3,a%8,a--等等操作，那你就也能对INT进行。INT基于vector，可以实现存储任意大的整数，且利用动态内存机制不会多浪费一点空间

类声明

class INT{	public: 	INT();	template <class T>	INT(T a);	INT(const string & s);	INT(const  INT &a);	INT(const char * s); 	template <class T>	INT & operator=(const T obj);	INT & operator=(const INT & obj); 	friend istream & operator>>(istream & in , INT &a);	friend ostream & operator<<(ostream & out , INT &a); 	operator bool(); 	friend INT operator+(INT a,INT b);	friend INT operator-(INT a,INT b);	friend INT operator*(INT a,INT b);	friend INT operator/(INT a,INT b);	friend INT operator%(INT a,INT b);	template <class T1>	friend INT operator+(T1 a,INT b);	template <class T1>	friend INT operator-(T1 a,INT b);	template <class T1>	friend INT operator*(T1 a,INT b);	template <class T1>	friend INT operator/(T1 a,INT b);	template <class T1>	friend INT operator%(T1 a,INT b);	template <class T2>	friend INT operator+(INT a,T2 b);	template <class T2>	friend INT operator-(INT a,T2 b);	template <class T2>	friend INT operator*(INT a,T2 b);	template <class T2>	friend INT operator/(INT a,T2 b);	template <class T2>	friend INT operator%(INT a,T2 b); 	friend bool operator<(INT a,INT b);	friend bool operator>(INT a,INT b);	friend bool operator<=(INT a,INT b);	friend bool operator>=(INT a,INT b);	friend bool operator!=(INT a,INT b);	friend bool operator==(INT a,INT b); 	template <class T>	inline INT& operator+=(T b);	template <class T>	inline INT& operator-=(T b);	template <class T>	inline INT& operator*=(T b);	template <class T>	inline INT& operator/=(T b);	template <class T>	inline INT& operator%=(T b); 	inline INT& operator++();	inline INT& operator--();	inline INT operator++(int);	inline INT operator--(int);	inline INT operator-(); 	private: 	vector<int> data;	bool sign;	static const long long int BIT=100000000;	static const short int BITb=8; 	void print();	void clear();//去除多余的前导0}; 

Code

#ifndef __gk_BigInt#define __gk_BigInt #include <iostream>#include <cstdio>#include <string>#include <cstring>#include <vector>#include <cmath>using namespace std;  class INT{	public: 	INT();	template <class T>	INT(T a);	INT(const string & s);	INT(const  INT &a);	INT(const char * s); 	template <class T>	INT & operator=(const T obj);	INT & operator=(const INT & obj); 	friend istream & operator>>(istream & in , INT &a);	friend ostream & operator<<(ostream & out , INT &a); 	operator bool(); 	friend INT operator+(INT a,INT b);	friend INT operator-(INT a,INT b);	friend INT operator*(INT a,INT b);	friend INT operator/(INT a,INT b);	friend INT operator%(INT a,INT b);	template <class T1>	friend INT operator+(T1 a,INT b);	template <class T1>	friend INT operator-(T1 a,INT b);	template <class T1>	friend INT operator*(T1 a,INT b);	template <class T1>	friend INT operator/(T1 a,INT b);	template <class T1>	friend INT operator%(T1 a,INT b);	template <class T2>	friend INT operator+(INT a,T2 b);	template <class T2>	friend INT operator-(INT a,T2 b);	template <class T2>	friend INT operator*(INT a,T2 b);	template <class T2>	friend INT operator/(INT a,T2 b);	template <class T2>	friend INT operator%(INT a,T2 b); 	friend bool operator<(INT a,INT b);	friend bool operator>(INT a,INT b);	friend bool operator<=(INT a,INT b);	friend bool operator>=(INT a,INT b);	friend bool operator!=(INT a,INT b);	friend bool operator==(INT a,INT b); 	template <class T>	inline INT& operator+=(T b);	template <class T>	inline INT& operator-=(T b);	template <class T>	inline INT& operator*=(T b);	template <class T>	inline INT& operator/=(T b);	template <class T>	inline INT& operator%=(T b); 	inline INT& operator++();	inline INT& operator--();	inline INT operator++(int);	inline INT operator--(int);	inline INT operator-(); 	private: 	vector<int> data;	bool sign;	static const long long int BIT=100000000;	static const short int BITb=8; 	void print();	void clear();//去除多余的前导0};INT Null(0);INT::INT(const  INT &a){	data=a.data;	sign=a.sign;}INT::INT(){	data.resize(1);	sign=1;}INT::INT(const string & s){	int p=0,no=0;	data.resize(1);	sign=1;	for(int i=s.length()-1;i>=0;i--)	{		if(s[i]=='-')		{			sign=0;			continue;		}		no++;		int t=(s[i]-'0');		for(int j=1;j<no;j++)t*=10;		data[p]+=t;		if(no>=BITb)		{			data.push_back(0);			p++;			no=0;		}	}	clear();}INT::INT(const  char * s){	int p=0,no=0;	data.resize(1);	sign=1;	for(int i=strlen(s)-1;i>=0;i--)	{		if(s[i]=='-')		{			sign=0;			continue;		}		no++;		int t=(s[i]-'0');		for(int j=1;j<no;j++)t*=10;		data[p]+=t;		if(no>=BITb)		{			data.push_back(0);			p++;			no=0;		}	}	clear();}template <class T>INT::INT(T a){	if(a<0)	{		sign=0;		a=-a;	}	else sign=1;	for(short int p=0;a>0;p++)	{		data.push_back(0);		data[p]=a%BIT;		a/=BIT;	}	clear();} ostream & operator<<(ostream & out , INT &a){	a.print();	return out;} istream & operator>>(istream & in , INT &a){	string s;	cin>>s;	a=s;	return in;}INT & INT::operator=(const INT & obj){	if(this !=&obj)	{		data=obj.data;		sign=obj.sign;	} 	return *this;} template <class T>INT & INT::operator=(const T obj){	*this=INT(obj);	return *this;} INT operator+(INT a,INT b){	if(a.sign==0&&b.sign==0)	{		a.sign=b.sign=1;		INT t=a+b;		t.sign=0;		return t;	}	if(a.sign==1&&b.sign==0)	{		b.sign=1;		return a-b;	}	if(a.sign==0&&b.sign==1)	{		a.sign=1;		return b-a;	}	INT ans;	if(a.data.size()<b.data.size())return (b+a);	for(int i=0;i<b.data.size();i++)	{		ans.data.push_back(0);		ans.data[i]+=(a.data[i]+b.data[i])%INT::BIT;		ans.data[i+1]+=(a.data[i]+b.data[i])/INT::BIT;	}	for(int i=b.data.size();i<a.data.size();i++)	{		ans.data.push_back(0);		ans.data[i]+=a.data[i];	}	ans.clear();	return ans;}INT operator-(INT a,INT b){	if(a.sign==1&&b.sign==0)	{		b.sign=1;		return a+b;	}	if(a.sign==0&&b.sign==1)	{		a.sign=1;		INT t=a+b;		t.sign=0;		return t;	}	if(a.sign==0&&b.sign==0)	{		a.sign=b.sign=1;		return b-a;	}	if(a<b)	{		INT t=b-a;		t.sign=0;		return t;	}	INT ans;	if(a==b)return ans;	for(int i=1;i<a.data.size();i++)ans.data.push_back(0);	for(int i=0;i<a.data.size();i++)	{		ans.data[i]+=a.data[i]-b.data[i];		if(ans.data[i]<0)		{			ans.data[i]+=INT::BIT;			a.data[i+1]--;		}	}	ans.clear();	return ans;}INT operator*(INT a,INT b){	if(a.sign==1&&b.sign==0)	{		b.sign=1;		INT t=a*b;		t.sign=0;		return t;	}	if(a.sign==0&&b.sign==1)	{		a.sign=1;		INT t=a*b;		t.sign=0;		return t;	}	if(a.sign==0&&b.sign==0)	{		a.sign=b.sign=1;		return a*b;	}	INT ans;	if(a==INT(0)||b==INT(0))return ans;	for(int i=1;i<=a.data.size()+b.data.size();i++)ans.data.push_back(0);	for(int i=0;i<a.data.size();i++)	{		for(int j=0;j<b.data.size();j++)		{			long long t=(long long)a.data[i]*b.data[j];			ans.data[i+j]+=t%INT::BIT;			ans.data[i+j+1]+=t/INT::BIT;		}	}	ans.clear();	return ans;}//能跑，但是有极大优化空间，但是懒得优化了，有空再说INT operator/(INT a,INT b){	if(a.sign==0&&b.sign==0)	{		a.sign=b.sign=1;		return a/b;	}	if(a.sign==0&&b.sign==1)	{		a.sign=1;		INT t=a/b;		t.sign=0;		return t;	}	if(a.sign==1&&b.sign==0)	{		b.sign=1;		INT t=a/b;		t.sign=0;		return t;	}	INT ans;	while(a-b>Null)	{		a=a-b;		ans++;	}	return ans;} INT operator%(INT a,INT b){	if(a.sign==0||b.sign==0)	{		cout<<"error,未定义负数的求模运算"<<endl;		return INT(-1);	}	else	{		while(a-b>Null)			a=a-b;		return a;	}}template <class T1>INT operator+(T1 a,INT b){	INT A(a);	return A+b;}template <class T1>INT operator-(T1 a,INT b){	INT A(a);	return A-b;}template <class T1>INT operator*(T1 a,INT b){	INT A(a);	return A*b;}template <class T1>INT operator/(T1 a,INT b){	INT A(a);	return A/b;}template <class T1>INT operator%(T1 a,INT b){	INT A(a);	return A%b;}template <class T2>INT operator+(INT a,T2 b){	INT B(b);	return a+B;}template <class T2>INT operator-(INT a,T2 b){	INT B(b);	return a-B;}template <class T2>INT operator*(INT a,T2 b){	INT B(b);	return a*B;}template <class T2>INT operator/(INT a,T2 b){	INT B(b);	return a/B;}template <class T2>INT operator%(INT a,T2 b){	INT  B(b);	return a%B;} bool operator<(INT a,INT b){	if(a.sign==1&&b.sign==0)return false;	if(a.sign==0&&b.sign==1)return true;	if(a.sign==0&&b.sign==0)	{		a.sign=b.sign=1;		return b<a;	}	if(a.data.size()>b.data.size())return false;	else if(a.data.size()<b.data.size())return true;	if(a.data.size()==1&&a.data[0]==b.data[0]&&a.data[0]==0)return false;	for(int i=a.data.size()-1;i>=0;i--)	{		if(a.data[i]<b.data[i])return true;		if(a.data[i]>b.data[i])return false;	}	return false;}bool operator==(INT a,INT b){	if(a.sign!=b.sign)	{		if(a.data[0]==b.data[0]&&a.data[0]==0&&a.data.size()==b.data.size()&&a.data.size()==1)			return 1;		else			return 0;	}	if(a.data.size()!=b.data.size())return 0;	for(int i=0;i<a.data.size();i++)		if(a.data[i]!=b.data[i])			return 0;	return 1;}bool operator!=(INT a,INT b){	return !(a==b);}bool operator>(INT a,INT b){	return a>=b&&a!=b;}bool operator<=(INT a,INT b){	return (a<b||a==b);}bool operator>=(INT a,INT b){	return !(a<b);} template <class T>inline INT& INT::operator+=(T b){	*this=*this+INT(b);	return *this;}template <class T>inline INT& INT::operator-=(T b){	*this=*this-INT(b);	return *this;}template <class T>inline INT& INT::operator*=(T b){	*this=*this*INT(b);	return *this;}template <class T>inline INT& INT::operator/=(T b){	*this=*this/INT(b);	return *this;}template <class T>inline INT& INT::operator%=(T b){	*this=*this%INT(b);	return *this;}   inline INT& INT::operator++(){	*this=*this+INT(1);	return *this;}inline INT& INT::operator--(){	*this=*this-INT(1);	return *this;}inline INT INT::operator++(int){	INT t= *this;	*this=*this+INT(1);	return t;}inline INT INT::operator--(int){	INT t=*this;	*this=*this+INT(1);	return t;} void INT::print(){	if(data.size()==1&&data[0]==0||data.size()==0)	{		cout<<0;		return;	}	if(sign==0)cout<<'-';	clear();	cout<<data.back();	for(int i=data.size()-2;i>=0;i--)	{		if(data[i]==0)for(int i=1;i< BIT ;i*=10)cout<<'0';		else		{			int x=0;			for(int t=data[i];t>0;t/=10)x++;			for(int i=1;i<=8-x;i++)cout<<'0';			cout<<data[i];		}	}}void INT::clear(){	while(data.size()>1&&data.back()==0)		data.pop_back();}INT::operator bool(){		if(data.size()==1&&data[0]==0||data.size()==0)		return false;		else		return true;}inline INT INT::operator-(){	INT newthis(*this);	if(newthis.sign==0)newthis.sign=1;	else newthis.sign=0;	return newthis;} #endif 

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