高精度除法完蛋啦!!!
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  • 发布时间2024/10/18 11:47
  • 上次更新2024/10/18 16:11:05
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高精度除法完蛋啦!!!
1406637
____Accepted____楼主2024/10/18 11:47

chu 函数有问题,我输入6 3,本应该输出2,结果。。。

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我的代码:

#include <cstdlib>
#include <iostream>
#include <cstring>
#include <string>
using namespace std;

#define DIGITS 20100

//////////////////// 高精度整数 ////////////////////
struct BigInt {
    BigInt() { memset(digits, 0, sizeof(digits)); }
    BigInt(string x) {
        memset(digits, 0, sizeof(digits));
        int nnn = x.length();
        for (int i = 1; i <= nnn; i++) {
            digits[i] = x[x.length() - i] - '0';
        }
    }
    string toString() {
        string str;
        int back = 0;
        for (int i = DIGITS; i >= 1; i--) {
            if (digits[i] != 0) {
                back = i;
                break;
            }
        }
        for (int i = back; i >= 1; i--)
            str += to_string(digits[i]);
        if (str == "")
            str = "0";
        
        return str;
    }
    short digits[DIGITS + 2];
};

//////////////////// 高精度加法 ////////////////////
BigInt jia(BigInt x, BigInt y) {
    BigInt sum;
    int inc = 0;
    for (int i = 1; i <= DIGITS; i++) {
        sum.digits[i] = x.digits[i] + y.digits[i] + inc;
        if (sum.digits[i] >= 10) {
            inc = 1;
            sum.digits[i] -= 10;
        } else inc = 0;
    }
    return sum;
}

//////////////////// 高精度乘法 ////////////////////
BigInt cheng(BigInt x, BigInt y) {
    BigInt ans, tmp;
    for (int i = 1; i <= DIGITS; i++) {
        if (x.digits[i] == 0)
            continue;
        memset(tmp.digits, 0, sizeof(tmp.digits));
        for (int j = 1; j <= DIGITS; j++)
            tmp.digits[i + j - 1] = y.digits[j] * x.digits[i];
        for (int j = 1; j <= DIGITS; j++) {
            tmp.digits[j + 1] += tmp.digits[j] / 10;
            tmp.digits[j] %= 10;
        }
        ans = jia(ans, tmp);
    }
    return ans;
}

enum Result {
    Less,
    Equal,
    Greater
};

//////////////////// 高精度比较 ////////////////////
Result comp(BigInt x, BigInt y) {
    int backX = 0, backY = 0;
    for (int i = DIGITS; i >= 1; i--) {
        if (x.digits[i] != 0) {
            backX = i;
            break;
        }
    }
    for (int i = DIGITS; i >= 1; i--) {
        if (y.digits[i] != 0) {
            backY = i;
            break;
        }
    }
    if (backX > backY)
        return Greater;
    else if (backX < backY)
        return Less;
    else {
        for (int i = backX; i >= 1; i--) {
            if (x.digits[i] > y.digits[i])
                return Greater;
            else if (x.digits[i] < y.digits[i])
                return Less;
        }
        return Equal;
    }
}

//////////////////// 高精度减法 ////////////////////
BigInt jian(BigInt x, BigInt y) {
    BigInt sum;
    int inc = 0;
    for (int i = 1; i <= DIGITS; i++) {
        sum.digits[i] = x.digits[i] - y.digits[i] + inc;
        if (sum.digits[i] < 0) {
            inc = -1;
            sum.digits[i] += 10;
        } else inc = 0;
    }
    return sum;
}

//////////////////// 高精度除法 ////////////////////
BigInt chu(BigInt x, BigInt y) {
    BigInt quotient, remainder;
    quotient = BigInt();
    remainder = x;
    for (int i = DIGITS; i >= 1; i--) {
        int digit = 0;
        while (comp(remainder, y) != Less) {
            remainder = jian(remainder, y);
            digit++;
        }
        quotient.digits[i] = digit;
        if (i > 1) {
            remainder.digits[i] = remainder.digits[i - 1];
        }
    }
    int back = 0;
    for (int i = DIGITS; i >= 1; i--) {
        if (quotient.digits[i] != 0) {
            back = i;
            break;
        }
    }
    for (int i = 1; i <= back; i++) {
        quotient.digits[i] = quotient.digits[i + DIGITS - back];
    }
    for (int i = back + 1; i <= DIGITS; i++) {
        quotient.digits[i] = 0;
    }
    return quotient;
}

string s1, s2;
BigInt x, y;
int main() {
    cin >> s1 >> s2;
    x = BigInt(s1);
    y = BigInt(s2);
    if (comp(x, y) == Less) {
        cout << "-";
        swap(x, y);
    }
    cout << chu(x, y).toString() << endl;
    return 0;
}

重点关注chu函数!!!

谢谢,赏玄关3个!!!

2024/10/18 11:47
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