Longest Consecutive Sequence:无序数列中查找最长连续子串长度

Given an unsorted array of integers, find the length of the longest consecutive elements sequence.

Your algorithm should run in O(n) complexity.

Example:

Input: [100, 4, 200, 1, 3, 2]
Output: 4
Explanation: The longest consecutive elements sequence is [1, 2, 3, 4]. Therefore its length is 4.

思路:如果不对复杂度有要求,可以考虑排序。然而此题不允许超过O(N)复杂度,所以要空间换时间。

因为题中是查找连续元素,所以快速的查找考虑哈希,而且连续元素之间值相差为1,所以据此可以在hashset中逐个元素搜索,找到最大连续子串长度。

class Solution {
 
    public int longestConsecutive(int[] nums) {
        Set<Integer> set = new HashSet<Integer>();
        for(int i :nums){
            set.add(i);
        }
        int ans = 0;
        for(int i : set){
            if(set.contains(i-1)) continue;
            int now = i;
            int sum = 1;
            while(set.contains(now+1)){
                now++;
                sum++;
            }
            ans = Math.max(ans,sum);
        }
        return ans;
    }
}




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转载自blog.csdn.net/u013300579/article/details/80525013