ACM高精度加减乘除模板

2023-06-12,,

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#include <iostream> #include <string> using namespace std; inline int compare(string str1, string str2) { if(str1.size() > str2.size()) //长度长的整数大于长度小的整数 return ; else if(str1.size() < str2.size()) return -; else return str1.compare(str2); //若长度相等,从头到尾按位比较,compare函数:相等返回0,大于返回1,小于返回-1 } //高精度加法 string ADD_INT(string str1, string str2) { string MINUS_INT(string str1, string str2); int sign = ; //sign 为符号位 string str; if(str1[] == '-') { if(str2[] == '-') { sign = -; str = ADD_INT(str1.erase(, ), str2.erase(, )); }else { str = MINUS_INT(str2, str1.erase(, )); } }else { if(str2[] == '-') str = MINUS_INT(str1, str2.erase(, )); else { //把两个整数对齐,短整数前面加0补齐 string::size_type l1, l2; int i; l1 = str1.size(); l2 = str2.size(); if(l1 < l2) { for(i = ; i <= l2 - l1; i++) str1 = "" + str1; }else { for(i = ; i <= l1 - l2; i++) str2 = "" + str2; } int int1 = , int2 = ; //int2 记录进位 for(i = str1.size() - ; i >= ; i--) { int1 = (int(str1[i]) - + int(str2[i]) - + int2) % ; //48 为 '0' 的ASCII码 int2 = (int(str1[i]) - + int(str2[i]) - +int2) / ; str = char(int1 + ) + str; } if(int2 != ) str = char(int2 + ) + str; } } //运算后处理符号位 if((sign == -) && (str[] != '')) str = "-" + str; return str; } //高精度减法 string MINUS_INT(string str1, string str2) { string MULTIPLY_INT(string str1, string str2); int sign = ; //sign 为符号位 string str; if(str2[] == '-') str = ADD_INT(str1, str2.erase(, )); else { int res = compare(str1, str2); if(res == ) return ""; if(res < ) { sign = -; string temp = str1; str1 = str2; str2 = temp; } string::size_type tempint; tempint = str1.size() - str2.size(); for(int i = str2.size() - ; i >= ; i--) { if(str1[i + tempint] < str2[i]) { str1[i + tempint - ] = char(int(str1[i + tempint - ]) - ); str = char(str1[i + tempint] - str2[i] + ) + str; } else str = char(str1[i + tempint] - str2[i] + ) + str; } for(i = tempint - ; i >= ; i--) str = str1[i] + str; } //去除结果中多余的前导0 str.erase(, str.find_first_not_of('')); if(str.empty()) str = ""; if((sign == -) && (str[] != '')) str = "-" + str; return str; } //高精度乘法 string MULTIPLY_INT(string str1, string str2) { int sign = ; //sign 为符号位 string str; if(str1[] == '-') { sign *= -; str1 = str1.erase(, ); } if(str2[] == '-') { sign *= -; str2 = str2.erase(, ); } int i, j; string::size_type l1, l2; l1 = str1.size(); l2 = str2.size(); for(i = l2 - ; i >= ; i --) { //实现手工乘法 string tempstr; int int1 = , int2 = , int3 = int(str2[i]) - ; if(int3 != ) { for(j = ; j <= (int)(l2 - - i); j++) tempstr = "" + tempstr; for(j = l1 - ; j >= ; j--) { int1 = (int3 * (int(str1[j]) - ) + int2) % ; int2 = (int3 * (int(str1[j]) - ) + int2) / ; tempstr = char(int1 + ) + tempstr; } if(int2 != ) tempstr = char(int2 + ) + tempstr; } str = ADD_INT(str, tempstr); } //去除结果中的前导0 str.erase(, str.find_first_not_of('')); if(str.empty()) str = ""; if((sign == -) && (str[] != '')) str = "-" + str; return str; } //高精度除法 string DIVIDE_INT(string str1, string str2, int flag) { //flag = 1时,返回商; flag = 0时,返回余数 string quotient, residue; //定义商和余数 int sign1 = , sign2 = ; if(str2 == "") { //判断除数是否为0 quotient = "ERROR!"; residue = "ERROR!"; if(flag == ) return quotient; else return residue; } if(str1 == "") { //判断被除数是否为0 quotient = ""; residue = ""; } if(str1[] == '-') { str1 = str1.erase(, ); sign1 *= -; sign2 = -; } if(str2[] == '-') { str2 = str2.erase(, ); sign1 *= -; } int res = compare(str1, str2); if(res < ) { quotient = ""; residue = str1; }else if(res == ) { quotient = ""; residue = ""; }else { string::size_type l1, l2; l1 = str1.size(); l2 = str2.size(); string tempstr; tempstr.append(str1, , l2 - ); //模拟手工除法 for(int i = l2 - ; i < l1; i++) { tempstr = tempstr + str1[i]; for(char ch = ''; ch >= ''; ch --) { //试商 string str; str = str + ch; if(compare(MULTIPLY_INT(str2, str), tempstr) <= ) { quotient = quotient + ch; tempstr = MINUS_INT(tempstr, MULTIPLY_INT(str2, str)); break; } } } residue = tempstr; } //去除结果中的前导0 quotient.erase(, quotient.find_first_not_of('')); if(quotient.empty()) quotient = ""; if((sign1 == -) && (quotient[] != '')) quotient = "-" + quotient; if((sign2 == -) && (residue[] != '')) residue = "-" + residue; if(flag == ) return quotient; else return residue; } //高精度除法,返回商 string DIV_INT(string str1, string str2) { return DIVIDE_INT(str1, str2, ); } //高精度除法,返回余数 string MOD_INT(string str1, string str2) { return DIVIDE_INT(str1, str2, ); } int main() { char ch; string s1, s2, res; while(cin >> ch) { cin >> s1 >> s2; switch(ch) { case '+': res = ADD_INT(s1, s2); break; //高精度加法 case '-': res = MINUS_INT(s1, s2); break; //高精度减法 case '*': res = MULTIPLY_INT(s1, s2); break; //高精度乘法 case '/': res = DIV_INT(s1, s2); break; //高精度除法,返回商 case 'm': res = MOD_INT(s1, s2); break; //高精度除法,返回余数 default : break; } cout << res << endl; } return(); }

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