15
06/2015
[LeetCode] Basic Calculator
Basic Calculator
Implement a basic calculator to evaluate a simple expression string.
The expression string may contain open (
and closing parentheses )
, the plus +
or minus sign -
, non-negative integers and empty spaces .
You may assume that the given expression is always valid.
Some examples:
"1 + 1" = 2 " 2-1 + 2 " = 3 "(1+(4+5+2)-3)+(6+8)" = 23
Note: Do not use the eval
built-in library function.
解题思路:
简易计算器。现将中缀表达式转化成后缀表达式,然后利用栈来计算。有几个注意的地方。1、后缀表达式的转化问题。2、对于减号而言,注意哪个数是减数,哪个是被减数。这个程序很容易修改成包含加减乘除的计算器问题。不同的就是后缀表达式的转化不一样。
class Solution { public: int calculate(string s) { string postS = getPostString(s); //获得后缀表达式 cout << postS; stack<int> nums; int len = postS.length(); int num1, num2; for (int i = 0; i<len; i++){ switch (postS[i]) { case '+': num1 = nums.top(); nums.pop(); num2 = nums.top(); nums.pop(); num1 = num1 + num2; nums.push(num1); break; case '-': num1 = nums.top(); nums.pop(); num2 = nums.top(); nums.pop(); num1 = num2 - num1; //注意这里是num2减去num1 nums.push(num1); break; case '#': break; default: int num = 0; while (i < len && postS[i] >= '0' && postS[i] <= '9'){ num = num * 10 + (postS[i] - '0'); i++; } i--; nums.push(num); break; } } return nums.top(); } private: string getPostString(string s){ string postS = ""; stack<char> op; int len = s.length(); for (int i = 0; i<len; i++){ switch (s[i]){ case ' ': break; case '(': op.push('('); break; case ')': while (!op.empty() && op.top() != '('){ postS += op.top(); op.pop(); } if (!op.empty() && op.top() == '('){ op.pop(); } break; case '+': case '-': while (!op.empty() && op.top() != '('){ postS += op.top(); op.pop(); } op.push(s[i]); break; default: while (i<len && s[i] >= '0'&&s[i] <= '9'){ postS += s[i]; i++; } postS += '#'; //分隔数字 i--; break; } } while (!op.empty()){ postS += op.top(); op.pop(); } return postS; } };
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