• 高精度模板


    #include<iostream>
    #include<cstring>
    #include<iomanip>
    #include<algorithm>
    #include<cstdlib>
    #include<cstdio>
    using namespace std;
    
    #define MAXN 9999
    #define MAXSIZE 10000
    #define DLEN 4
    
    class BigNum{
    private:
        int a[MAXSIZE];    //可以控制大数的位数
        int len;           //大数长度
        int is;
    public:
        BigNum(){len = 1 ; memset(a,0,sizeof(a)); }   //构造函数
        BigNum(const int);       //将一个int类型的变量转化为大数
        BigNum(const char*);     //将一个字符串类型的变量转化为大数
        BigNum(const BigNum &);  //拷贝构造函数
        BigNum &operator = (const BigNum &);   //重载赋值运算符,大数之间进行赋值运算
    
        friend istream& operator >> (istream&,  BigNum&);   //重载输入运算符
        friend ostream& operator << (ostream&,  BigNum&);   //重载输出运算符
    
        BigNum operator + (const BigNum &) const;   //重载加法运算符,两个大数之间的相加运算
        BigNum operator - (const BigNum &) const;   //重载减法运算符,两个大数之间的相减运算
        BigNum operator * (const BigNum &) const;   //重载乘法运算符,两个大数之间的相乘运算
        BigNum operator / (const int    &) const;   //重载除法运算符,大数对一个整数进行相除运算
    
        BigNum operator ^ (const int    &) const;   //大数的n次方运算
        int    operator % (const int    &) const;   //大数对一个int类型的变量进行取模运算
        bool   operator > (const BigNum & T)const;  //大数和另一个大数的大小比较
        bool   operator > (const int    & t)const;  //大数和一个int类型的变量的大小比较
    
        void print();       //输出大数
    };
    BigNum::BigNum(const int b){    //将一个int类型的变量转化为大数
        int c,d = b;
        len = 0;
        if(d < 0){
            d = -d;
            is = 1;
        }
        memset(a,0,sizeof(a));
        while(d > MAXN){
            c = d - (d / (MAXN + 1)) * (MAXN + 1);
            d = d / (MAXN + 1);
            a[len ++] = c;
        }
        a[len ++] = d;
    }
    BigNum::BigNum(const char*s){    //将一个字符串类型的变量转化为大数
        int t , k;
        memset(a , 0 , sizeof(a));
        int l=strlen(s);
        if(s[0] == '-') is = 1;
        else is = 0;
        len=l / DLEN;
        if(l % DLEN) len ++;
        int index = 0;
        for(int i = l - 1 ; i >= is ; i -= DLEN){
            t = 0;
            k = i - DLEN + 1;
            if(k < is) k = is;
            for(int j = k ; j <= i ; ++ j) t = t * 10 + s[j] - '0';
            a[index ++] = t;
        }
    }
    BigNum::BigNum(const BigNum & T) : len(T.len){  //拷贝构造函数
        is = T.is;
        memset(a,0,sizeof(a));
        for(int i = 0 ; i < len ; i++) a[i] = T.a[i];
    }
    BigNum & BigNum::operator = (const BigNum & n){  //重载赋值运算符,大数之间进行赋值运算
        len = n.len;
        is = n.is;
        memset(a,0,sizeof(a));
        for(int i = 0 ; i < len ; i++) a[i] = n.a[i];
        return *this;
    }
    istream& operator >> (istream & in,  BigNum & b){   //重载输入运算符
        char ch[MAXSIZE << 2];
        in >> ch;
        int l = strlen(ch);
        if(ch[0] == '-') b.is = 1;
        else b.is = 0;
        int count = 0 , sum = 0;
        int i = -1;
        for(i = l-1 ; i >= b.is;){
            sum = 0;
            int t = 1;
            for(int j = 0 ; j < 4 && i >= b.is ; ++ j , -- i , t *= 10){
                sum += (ch[i]-'0') * t;
            }
            b.a[count]=sum;
            count++;
        }
        b.len = count;
        return in;
    
    }
    /*ostream& operator<<(ostream& out,  BigNum& b)   //重载输出运算符
    {
        int i;
        cout << b.a[b.len - 1];
        for(i = b.len - 2 ; i >= 0 ; i--)
        {
            cout.width(DLEN);
            cout.fill('0');
            cout << b.a[i];
        }
        return out;
    }*/
    
    BigNum BigNum::operator + (const BigNum & T) const{   //两个大数之间的相加运算
        if(is == T.is){
            BigNum t(*this);
            int big = T.len > len ? T.len : len;    //位数
            for(int i = 0 ; i < big ; ++ i){
                t.a[i] += T.a[i];
                if(t.a[i] > MAXN){
                    t.a[i + 1]++;
                    t.a[i] -= MAXN + 1;
                }
            }
            if(t.a[big] != 0) t.len = big + 1;
            else t.len = big;
            if(T.is && is) t.is = 1;
            else t.is = 0;
            return t;
        }
        else{
            if(T.is){
                BigNum test = T;
                test.is = 0;
                BigNum t(*this);
                BigNum ans = t - test;
                return ans;
            }
            else{
                BigNum t(*this);
                t.is = 0;
                BigNum ans = T - t;
                t.is = 1;
                return ans;
            }
        }
    }
    BigNum BigNum::operator - (const BigNum & T) const   //两个大数之间的相减运算
    {
        if(T.is != is){
            if(T.is){
                BigNum test = T;
                test.is = 0;
                BigNum t(*this);
                BigNum ans = t + test;
                return ans;
            }
            else{
                BigNum t(*this);
                t.is = 0;
                BigNum ans = t + T;
                ans.is = 1;
                t.is = 1;
                return ans;
            }
        }
        bool flag;
        BigNum t1,t2;
        if(*this>T){
            t1=*this;
            t2=T;
            flag=0;
        }
        else{
            t1=T;
            t2=*this;
            flag=1;
        }
        int big=t1.len;
        for(int i = 0 ; i < big ; ++ i){
            if(t1.a[i] < t2.a[i]){
                int j = i + 1;
                while(t1.a[j] == 0) ++ j;
                t1.a[j --] --;
                while(j > i) t1.a[j--] += MAXN;
                t1.a[i] += MAXN + 1 - t2.a[i];
            }
            else t1.a[i] -= t2.a[i];
        }
        t1.len = big;
        while(t1.a[t1.len - 1] == 0 && t1.len > 1){
            -- t1.len;
            -- big;
        }
        if(flag) t1.is = 1;
        else t1.is = 0;
        return t1;
    }
    
    BigNum BigNum::operator*(const BigNum & T) const{  //两个大数之间的相乘运算
        BigNum ret;
        int i,j,up;
        int temp,temp1;
        for(i = 0 ; i < len ; i++)
        {
            up = 0;
            for(j = 0 ; j < T.len ; j++)
            {
                temp = a[i] * T.a[j] + ret.a[i + j] + up;
                if(temp > MAXN)
                {
                    temp1 = temp - temp / (MAXN + 1) * (MAXN + 1);
                    up = temp / (MAXN + 1);
                    ret.a[i + j] = temp1;
                }
                else
                {
                    up = 0;
                    ret.a[i + j] = temp;
                }
            }
            if(up != 0)
                ret.a[i + j] = up;
        }
        ret.len = i + j;
        while(ret.a[ret.len - 1] == 0 && ret.len > 1)
            ret.len--;
        ret.is = is == T.is ? 0 : 1;
        return ret;
    }
    BigNum BigNum::operator/(const int & b) const   //大数对一个整数进行相除运算
    {
        BigNum ret;
        int i,down = 0;
        for(i = len - 1 ; i >= 0 ; i--){
            ret.a[i] = (a[i] + down * (MAXN + 1)) / b;
            down = a[i] + down * (MAXN + 1) - ret.a[i] * b;
        }
        ret.len = len;
        while(ret.a[ret.len - 1] == 0 && ret.len > 1) ret.len--;
        int testis = b >= 0 ? 0 : 1;
        ret.is = testis == is ? 0 : 1;
        return ret;
    }
    int BigNum::operator % (const int & b) const{   //大数对一个int类型的变量进行取模运算
        int i,d=0;
        for (i = len-1; i>=0; i--) d = ((d * (MAXN+1))% b + a[i])% b;
        return d;
    }
    BigNum BigNum::operator ^ (const int & n) const    //大数的n次方运算
    {
        BigNum t,ret(1);
        if(n < 0) exit(-1);
        if(n == 0) return 1;
        if(n == 1) return *this;
        int m = n;
        int i;
        while(m > 1){
            t = *this;
            for(i = 1 ; (i << 1) <= m; i <<= 1) t = t * t;
            m -= i;
            ret = ret * t;
            if(m == 1) ret = ret * (*this);
        }
        return ret;
    }
    bool BigNum::operator>(const BigNum & T) const{   //大数和另一个大数的大小比较
        if(is && !T.is) return false;
        if(!is && T.is) return true;
        if(len > T.len){
            if(!T.is && !is) return true;
            else return false;
        }
        else if(len == T.len){
            int ln = len - 1;
            while(a[ln] == T.a[ln] && ln >= 0)
                ln --;
            if(ln >= 0 && a[ln] > T.a[ln]){
                if(!T.is && !is) return true;
                else return false;
            }
            else{
                if(!T.is && !is) return false;
                else return true;
            }
        }
        else{
            if(!T.is && !is) return false;
            else return true;
        }
    }
    bool BigNum::operator >(const int & t) const{    //大数和一个int类型的变量的大小比较
        BigNum b(t);
        return *this>b;
    }
    
    void BigNum::print(){    //输出大数
        int i;
        if(is) printf("-");
        printf("%d",a[len-1]);
        for(i = len - 2 ; i >= 0 ; i--) printf("%04d",a[i]);
        printf("
    ");
    }
    char s[100010];
    int main()
    {
        int text;
        cin>>text;
        while(text--)
        {
            BigNum ans(0);
            while(~scanf("%s" , s)){
                ans = ans + BigNum(s);
                if(strlen(s) == 1 && s[0] == '0') break;
            }
            ans.print();
            if(text) printf("
    ");
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/acjiumeng/p/7225996.html
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