【模板】高精度计算

最基础的高精度,用$struct$封装后更易于使用。

【CODE】

#include<iostream>
#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<string>
#include<cmath>
#include<algorithm>
using namespace std;
 
const int MAXN = 410;
 
struct bign{
    int len, s[MAXN];
    bign(){
        memset(s, 0, sizeof s);
        len = 1;
    }
    bign(int num){
        *this = num;  //=已重载
    }
    bign(const char *num){
        *this = num; //=已重载
    }
    bign operator = (const int num) {
        char t[MAXN];
        sprintf(t, "%d", num);
        *this = t;   //=此处已重载
        return *this;
    }
    bign operator = (const char *num){
        for(int i = 0; num[i] == '0'; num++); //去除前导0
        len = strlen(num);
        for(int i = 0; i < len; i++) s[i] = num[len - i - 1] - '0';
        //反转
        return *this;
    }
    bign operator + (const bign &b){
        bign c;
        c.len = 0;
        for(int i = 0, g = 0; g || i < max(len, b.len); i++){
            int x = g;
            if(i < len) x += s[i];
            if(i < b.len) x += b.s[i];
            c.s[c.len++] = x % 10;
            g = x / 10;    //g为每次加完的进位
        }
        return c;
    }
    bign operator += (const bign &b) {
        *this = *this + b;
        return *this;
    }
    void clean(){
        while(len > 1 && !s[len - 1]) len--;  //删除前导0
    }
    bign operator * (const bign &b) {
        bign c;
        c.len = len + b.len;  //最多的位数为两乘数位数之和
        for(int i = 0; i < len; i++)
            for(int j = 0; j < b.len; j++)
                c.s[i + j] += s[i] * b.s[j];
        for(int i = 0; i < c.len; i++){
            c.s[i + 1] = c.s[i] / 10;
            c.s[i] %= 10;
        }
        c.clean();
        return c;
    }
    bign operator *= (const bign &b) {
        *this = *this * b;
        return *this;
    }
    bign operator - (const bign &b) {
        bign c;
        c.len = 0;
        for(int i = 0, g = 0; i < len; i++){
            int x = s[i] - g;  //g为借位
            if(i < b.len) x -= b.s[i];
            if(x >= 0) g = 0;
            else{
                g = 1;
                x += 10;
            }
            c.s[c.len++] = x;
        }
        c.clean();
        return c;
    }
    bign operator -= (const bign &b) {
        *this = *this - b;
        return *this;
    }
    bign operator / (const bign &b) {
        bign c, f = 0;
        for(int i = len - 1; i >= 0; i--){
            f = f * 10;
            f.s[0] = s[i];
            while(f >= b){
                f -= b;
                c.s[i]++;
            }
        }
        c.len = len;
        c.clean();
        return c;
    }
    bign operator /= (const bign &b) {
        *this = *this / b;
        return *this;
    }
    bign operator % (const bign &b) {
        bign r = *this / b;
        r = *this - r * b;
        return r;
    }
    bign operator %= (const bign &b){
        *this = *this % b;
        return *this;
    }
    bool operator < (const bign &b){
        if(len != b.len) return len < b.len;
        for(int i = len - 1; i >= 0; i--)
            if(s[i] != b.s[i]) return s[i] < b.s[i];
        return false;
    }
    bool operator > (const bign &b) {
        if(len != b.len) return len > b.len;
        for(int i = len - 1; i >= 0; i--)
            if(s[i] != b.s[i]) return s[i] > b.s[i];
        return false;
    }
    bool operator == (const bign &b) {
        return !(*this > b) && !(*this < b);
    }
    bool operator >= (const bign &b) {
        return *this > b || *this == b;
    }
    bool operator <= (const bign &b) {
        return *this < b || *this == b;
    }
    bool operator != (const bign &b) {
        return *this > b || *this < b;
    }
    string str() const{
        string ret = "";
        for(int i = len - 1; i >= 0; i--) ret += char(s[i] + '0');
        return ret;
    }
};
 
istream& operator >> (istream &in, bign &x){
    string s;
    in >> s;
    x = s.c_str();
    return in;
}
 
ostream& operator << (ostream &out, bign &x){
    out << x.str();
    return out;
}
 
int main(){
    bign a, b, c;
    cin>>a>>b;
    c = a + b;
    cout<<c;
    return 0;
}
posted @ 2017-07-12 10:48  CzYoL  阅读(324)  评论(3编辑  收藏  举报