LeetCode—Longest Consecutive Sequence

题目描述:
Given an unsorted array of integers, find the length of the longest consecutive elements sequence.

For example,
Given [100, 4, 200, 1, 3, 2],
The longest consecutive elements sequence is [1, 2, 3, 4]. Return its length: 4.

Your algorithm should run in O(n) complexity.
最好想到的思路是排序,如果排序,最快也要O(NlogN),不符合要求。
以空间换时间:
代码:

int longestConsecutive(vector<int>& nums)
{
    map<int,int> map1;
    int len = 0;
    int maxlen = len;
    for(int i = 0;i<nums.size();i++)
    {
       //在nums中出现,则不为0,否则为0
       map1[nums[i]]++;
    }
    int min1 = nums[0];
    int min_up = min1;
    int min_down = min1-1;
    int i = 0;
    while(i<nums.size())
    {
          if(map1[min_up]!=0)
          {
                len++;
                map1[min_up] = 0;
                min_up++;
          }
          if(map1[min_down]!=0)
          {
                 len++;
                 map1[min_down] = 0;
                 min_down--;
          }
          if(map1[min_down]==0 && map1[min_up]==0)
          {
                 if(maxlen<len)
                 maxlen = len;  
                 cout<<maxlen<<endl;
                 len = 0; 
                 while(map1[nums[i++]]==0&&i<nums.size());
                 if(i<nums.size())
                 {
                      min1 = nums[i-1];
                      min_up = min1;
                      min_down = min1-1;    
                 }
                 else break;                           
          }
    }
    return maxlen;
}

时间复杂度:O(N),同时引入了map,空间复杂度O(N).

posted @ 2015-05-20 18:07  sunp823  阅读(92)  评论(0编辑  收藏  举报