238.product-of-array-except-self.js

/*
 * @lc app=leetcode id=238 lang=javascript
 *
 * [238] Product of Array Except Self
 *
 * https://leetcode.com/problems/product-of-array-except-self/description/
 *
 * algorithms
 * Medium (53.97%)
 * Total Accepted:    246.5K
 * Total Submissions: 451.4K
 * Testcase Example:  '[1,2,3,4]'
 *
 * Given an array nums of n integers where n > 1,  return an array output such
 * that output[i] is equal to the product of all the elements of nums except
 * nums[i].
 *
 * Example:
 *
 *
 * Input:  [1,2,3,4]
 * Output: [24,12,8,6]
 *
 *
 * Note: Please solve it without division and in O(n).
 *
 * Follow up:
 * Could you solve it with constant space complexity? (The output array does
 * not count as extra space for the purpose of space complexity analysis.)
 *
 */
/**
 * @param {number[]} nums
 * @return {number[]}
 */
var productExceptSelf = function(nums) {
  const ret = [];

  for (let i = 0, temp = 1; i < nums.length; i++) {
    ret[i] = temp;
    temp *= nums[i];
  }
  // 此时ret[i]存放的是前i个元素相乘的结果(不包含第i个)

  // 如果没有上面的循环的话，
  // ret经过下面的循环会变成ret[i]存放的是后i个元素相乘的结果(不包含第i个)

  // 我们的目标是ret[i]存放的所有数字相乘的结果(不包含第i个)

  // 因此我们只需要对于上述的循环产生的ret[i]基础上运算即可
  for (let i = nums.length - 1, temp = 1; i >= 0; i--) {
    ret[i] *= temp;
    temp *= nums[i];
  }
  return ret;
};