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152 Maximum Product Subarray
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152 Maximum Product Subarray

1. Question

Find the contiguous subarray within an array (containing at least one number) which has the largest product.
For example, given the array[2,3,-2,4], the contiguous subarray[2,3]has the largest product =6.

2. Implementation

(1) DP
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class Solution {
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public int maxProduct(int[] nums) {
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if (nums == null || nums.length == 0) {
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return 0;
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}
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​
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int n = nums.length;
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int res = nums[0];
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int max = nums[0];
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int min = nums[0];
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​
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for (int i = 1; i < n; i++) {
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if (nums[i] >= 0) {
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max = Math.max(nums[i], max * nums[i]);
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min = Math.min(nums[i], min * nums[i]);
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}
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else {
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int temp = max;
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max = Math.max(nums[i], min * nums[i]);
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min = Math.min(nums[i], temp * nums[i]);
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}
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res = Math.max(res, max);
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}
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return res;
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}
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}
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3. Time & Space Complexity

DP: 时间复杂度O(n), 空间复杂度O(n)
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Contents
152. Maximum Product Subarray
1. Question
2. Implementation
3. Time & Space Complexity