题解 | #买卖股票的最好时机(一)#
买卖股票的最好时机(一)
https://www.nowcoder.com/practice/351b87e53d0d44928f4de9b6217d36bb?tpId=230&tqId=2364518&ru=/exam/oj&qru=/ta/dynamic-programming/question-ranking&sourceUrl=%2Fexam%2Foj%3Fpage%3D1%26tab%3D%25E7%25AE%2597%25E6%25B3%2595%25E7%25AF%2587%26topicId%3D230
用lastMin记录遍历到的i之前的出现的最小值
1.当 p[i]<=lastMin,说明p[1~i]上的最大收益和p[1~i-1]上一样, f[i] = f[i-1]
2.当p[i]>lastMin,说明有可能产生更大的收益,f[i] = max(f[i-1], p[i]-lastMin)
#include <cstdio>
#include <iostream>
using namespace std;
const int N = 1e5+10;
int n;
int prices[N];
int dp[N]; //dp[i]表示 prices[1:i]上的最大收益
int main() {
scanf("%d", &n);
for(int i = 1; i <= n; i++)
{
scanf("%d", &prices[i]);
}
dp[1] = 0;
int lastMin = prices[1];
for(int i = 2; i <= n; i++){
if(prices[i]<=lastMin){
dp[i] = dp[i-1];
lastMin = prices[i];
}else{
dp[i] = max(dp[i-1], prices[i]-lastMin);
}
}
printf("%d", dp[n]);
return 0;
}
// 64 位输出请用 printf("%lld")