給定一個無序數組,包含正數、負數和0,要求從中找出3個數的乘積,使得乘積最大,要求時間複雜度:O(n),空間複雜度:O(1)
輸入描述:
無序整數數組A[n]
輸出描述:
滿足條件的最大乘積
輸入例子1:
4
3 4 1 2
輸出例子1:
24
#include <iostream>
#include <string>
#include <cstring>
#include <vector>
#include <numeric>
#include <algorithm>
using namespace std;
//#define debug_
vector<long long> A;
long long func()
{
vector<long long > Positive(3,0);
vector<long long> Negative(3,0);
for (auto i = 0; i < A.size();++i)
{
if (A[i] > 0)
{
Positive[2] = max(Positive[1] * A[i], Positive[2]);
Negative[2] = min(Negative[1] * A[i], Negative[2]);
}
else
{
Positive[2] = max(Negative[1] * A[i], Positive[2]);
Negative[2] = min(Positive[1] * A[i], Negative[2]);
}
if (A[i] > 0)
{
Positive[1] = max(Positive[0] * A[i], Positive[1]);
Negative[1] = min(Negative[0] * A[i], Negative[1]);
}
else
{
Positive[1] = max(Negative[0] * A[i], Positive[1]);
Negative[1] = min(Positive[0] * A[i], Negative[1]);
}
Positive[0] = max(A[i], Positive[0]);
Negative[0] = min(A[i], Negative[0]);
}
return Positive[2];
}
int main()
{
int n;
cin >> n;
int tmp(0);
A.resize(n);
for (auto i = 0; i < n;++i)
{
cin >> A[i];
}
cout << func() << endl;
return 0;
}