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[323344] 主题: 大数类例程
作者: little (渺小・Happy^_^)
标题: 大数类例程 [转载]
来自: 192.168.*.*
发贴时间: 2005年01月19日 14:18:10 (UTC +08:00)
长度: 2983字
#include <iostream>
#include <memory>

using namespace std;

#define for if (0); else for

typedef __int64 hugeint;

struct xnum
{
	enum {Base = 1000000000};
	enum {Capacity = 20};
	int Len;
	int Data;
	xnum() : Len(0) {}
	xnum(const xnum& V) : Len(V.Len) { memcpy(Data, V.Data, Len * sizeof *Data)
; }
	xnum(int V) : Len(0) { for (; V > 0; V /= Base) Data = V % Base; }
	xnum& operator=(const xnum& V) { Len = V.Len; memcpy(Data, V.Data, Len 
* sizeof *Data); return *this; }
	int& operator(int Index) { return Data; }
	int operator(int Index) const { return Data; }
};

int compare(const xnum& A, const xnum& B)
{
	if (A.Len != B.Len) return A.Len > B.Len ? 1 : -1;
	int I;
	for (I = A.Len - 1; I >= 0 && A == B; I--);
	if (I < 0) return 0;
	return A > B ? 1 : -1;
}

xnum operator+(const xnum& A, const xnum& B)
{
	xnum R;
	int I, Carry = 0;
	for (I = 0; I < A.Len || I < B.Len || Carry > 0; I++)
	{
		if (I < A.Len) Carry += A;
		if (I < B.Len) Carry += B;
		R = Carry % Base;
		Carry /= Base;
	}
	R.Len = I;
	return R;
}

xnum operator-(const xnum& A, const xnum& B)
{
	xnum R;
	int Carry = 0;
	R.Len = A.Len;
	for (int I = 0; I < R.Len; I++)
	{
		R = A - Carry;
		if (I < B.Len) R -= B;
		if (R < 0) Carry = 1, R += Base;
		else Carry = 0;
	}
	while (R.Len > 0 && R == 0) R.Len--;
	return R;
}

xnum operator*(const xnum& A, const int B)
{
	if (B == 0) return 0;
	xnum R;
	hugeint Carry = 0;
	int I;
	for (I = 0; I < A.Len || Carry > 0; I++)
	{
		if (I < A.Len) Carry += hugeint(A) * B;
		R = Carry % Base;
		Carry /= Base;
	}
	R.Len = I;
	return R;
}

xnum operator*(const xnum& A, const xnum& B)
{
	if (B.Len == 0) return 0;
	xnum R;
	for (int I = 0; I < A.Len; I++)
	{
		hugeint Carry = 0;
		for (int J = 0; J < B.Len || Carry > 0; J++)
		{
			if (J < B.Len) Carry += hugeint(A) * B;
			if (I + J < R.Len) Carry += R;
			if (I + J >= R.Len) R = Carry % Base;
			else R = Carry % Base;
			Carry /= Base;
		}	
	}
	return R;
}

xnum operator/(const xnum& A, const int B)
{
	xnum R;
	hugeint C = 0;
	for (int I = A.Len - 1; I >= 0; I--)
	{
		C = C * Base + A;
		R = C / B;
		C %= B;
	}
	R.Len = A.Len;
	while (R.Len > 0 && R == 0) R.Len--;
	return R;
}

xnum operator/(const xnum& A, const xnum& B)
{
	xnum R, Carry = 0;
	int Left, Right, Mid;
	for (int I = A.Len - 1; I >= 0; I--)
	{
		Carry = Carry * Base + A;
		Left = 0;
		Right = Base - 1;
		while (Left < Right)
		{
			Mid = (Left + Right + 1) / 2;
			if (compare(B * Mid, Carry) <= 0) Left = Mid;
			else Right = Mid - 1;
		}
		R = Left;
		Carry = Carry - B * Left;
	}
	R.Len = A.Len;
	while (R.Len > 0 && R == 0) R.Len--;
	return R;
}

istream& operator>>(istream& In, xnum& V)
{
	char Ch;
	for (V = 0; In >> Ch;)
	{
		V = V * 10 + (Ch - '0');
		if (cin.peek() <= ' ') break;
	}
	return In;
}

ostream& operator<<(ostream& Out, const xnum& V)
{
	Out << (V.Len == 0 ? 0 : V);
	for (int I = V.Len - 2; I >= 0; I--) for (int J = xnum::Base / 10; J > 0;
 J /= 10) Out << V / J % 10;
	return Out;
}

int main()
{
	return 0;
}


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