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大整数类(C++ 简化版 不含负数 不含乘法除法)
/*
简化版
不含负数
不含乘法除法
*/
#include <bits/stdc++.h>
#define ll long long
#define _for(i, a) for(int i = 0; i < (a); i++)
#define _rep(i ,a, b) for(int i = (a); i <= (b); i++)
using namespace std;
struct BIGNUM {
static const int BASE = 100000000;
static const int WIDTH = 8;
vector<int> s;
BIGNUM(ll num = 0) { *this = num; }
BIGNUM operator = (ll num) {
s.clear();
while (num > 0) {
s.push_back(num % BASE);
num /= BASE;
}
return *this;
}
BIGNUM operator = (const string& str) {
s.clear();
int x, len = (str.length() - 1) / WIDTH + 1;
_for(i, len) {
int end = str.length() - i * WIDTH;
int start = max(0, end - WIDTH);
sscanf(str.substr(start, end - start).c_str(), "%d", &x);
s.push_back(x);
}
return *this;
}//赋值运算
BIGNUM operator + (const BIGNUM& b) const {
BIGNUM c;
c.s.clear();
for (int i = 0, g = 0; ; i++) {
if (g == 0 && i >= s.size() && i >= b.s.size()) break;
int x = g;
if (i < s.size()) x += s[i];
if (i < b.s.size()) x += b.s[i];
g = x / BASE;
c.s.push_back(x);
}
return c;
}//加法运算
BIGNUM operator - (const BIGNUM& b) const {
BIGNUM c;
c.s.clear();
int x, g = 0, i = 0;
do {
x = s[i] - g;
if (i < b.s.size()) x -= b.s[i];
if (x < 0) {
x += BASE;
g = 1;
}
else g = 0;
c.s.push_back(x);
i++;
} while (i < s.size());
return c;
}//减法运算 默认大减小 且都大于0
bool operator < (const BIGNUM& b) const {
if (s.size() != b.s.size()) return s.size() < b.s.size();
for (int i = s.size() - 1; i >= 0; i--) {
if (s[i] != b.s[i]) return s[i] < b.s[i];
}
return false;//相等
}//重载小于号
//其他比较运算
bool operator > (const BIGNUM& b) const { return b < *this; }
bool operator <= (const BIGNUM& b) const { return !(b < *this); }
bool operator >= (const BIGNUM& b) const { return !(*this < b); }
bool operator != (const BIGNUM& b) const { return b < *this || *this < b; }
bool operator == (const BIGNUM& b) const { return !(b < *this || *this < b); }
};
ostream& operator << (ostream &out, const BIGNUM& x) {
out << x.s.back();
for (int i = x.s.size() - 2; i >= 0; i--) {
char buf[10];
sprintf(buf, "%08d", x.s[i]);
_for(j, strlen(buf)) out << buf[j];
}
return out;
}//重载输出运算符
istream& operator >> (istream &in, BIGNUM &x) {
string s;
if (!(in >> s)) return in;
x = s;
return in;
}//重载输入运算符
int main() {
BIGNUM a, b;
a = "10000000000";
b = 100;
cout << a - b;
return 0;
}