题目链接:https://leetcode.com/problems/basic-calculator-ii/

题目:
Implement a basic calculator to evaluate a simple expression string.

The expression string contains only non-negative integers, +, -, *, / operators and empty spaces . The integer division should truncate toward zero.

You may assume that the given expression is always valid.

Some examples:
“3+2*2” = 7
” 3/2 ” = 1
” 3+5 / 2 ” = 5
Note: Do not use the eval built-in library function.

思路:
每到一个数字的时候看看该数字前面的操作符,如果是乘除法则立即计算该操作,并将结果压入栈中;如果是减法则将该数字变为负数并将减法改为加法 ,这样到最后,操作符栈中实际都是加法,就没有优先级的处理问题了,直接计算就能得到结果

算法:

public int calculate(String s) {
        Stack<String> operator = new Stack<String>();
        Stack<Integer> nums = new Stack<Integer>();
        s = s.replace(" ", "");
        int curNum = 0; // 连续字符都是数字要组合成一个数
        for (int i = 0; i < s.length(); i++) {
            char op = s.charAt(i);
            if (Character.isDigit(op)) { // 当前是数字
                curNum = Integer.parseInt(op + "");
                while (i + 1 < s.length() && Character.isDigit(s.charAt(i + 1))) { // 后继字符也是数字,组合成一个数
                    char nextNum = s.charAt(i + 1);
                    curNum = curNum * 10 + Integer.parseInt(nextNum + "");
                    i++;
                }// 一个操作数处理完
                nums.push(curNum);
                if (operator.isEmpty())
                    continue;
                String preOp = operator.pop();
                ;
                if (preOp.equals("*")) {
                    nums.push(nums.pop() * nums.pop());
                } else if (preOp.equals("/")) {
                    int first = nums.pop();
                    int second = nums.pop();
                    nums.push(second / first);
                } else if (preOp.equals("-")) {
                    operator.push("+");
                    nums.push(-nums.pop());
                } else {
                    operator.push(preOp);
                }
                if (i + 1 == s.length()) {// 当前操作数是最后一个操作数
                    while (nums.size() >= 2) {
                        nums.push(nums.pop() + nums.pop());
                    }
                }
            } else { // 当前字符是操作符
                operator.push(op + "");
            }
        }
        return nums.pop();
    }