/*******************************************************************
Copyright(c) 2016, Tyrone Li
All rights reserved.
*******************************************************************/
// 作者:TyroneLi
//
/*
Q:
連續子數組的最大和:
輸入一個整型數組,數組中有正數也有負數,數組中一個或者連續多個數組組成一個子數組。求所有子數組
中的和最大值。
S:
這裏採用動態規劃的思想:
假設f(i)表示第i個數結尾的子數組的最大和,那麼要求可以得到如下的遞推式:
f(i) = f(i-1) + data[i], if f(i-1) > 0 && i !=0
f(i) = data[i] , if f(i-1) <=0 || i == 0
*/
#include <iostream>
#include <cstdio>
#include <cstdlib>
int getGreatestSumOfSubArr(int*numbers, int length)
{
if(numbers == nullptr || length <= 0)
return 0;
int curSum = 0;
int maxSum = -99999;
for(int i = 0; i < length; ++i)
{
if(curSum <= 0)
{
curSum = numbers[i];
}else{
curSum += numbers[i];
}
if(curSum > maxSum)
maxSum = curSum;
}
return maxSum;
}
void test_1()
{
std::cout << "Test 1" << std::endl;
int numbers[] = {1,-2,3,10,-4,7,2,-5};
std::cout << "Found max_sum = " << getGreatestSumOfSubArr(numbers, 8) << std::endl;
}
void test_2()
{
std::cout << "Test 2" << std::endl;
int numbers[] = {-1,-4,-1,-4,-8,-4,-19,-10};
std::cout << "Found max_sum = " << getGreatestSumOfSubArr(numbers, 8) << std::endl;
}
void test_3()
{
std::cout << "Test 3" << std::endl;
int numbers[] = {1,2,5,4,1,7,9,4};
std::cout << "Found max_sum = " << getGreatestSumOfSubArr(numbers, 8) << std::endl;
}
void test_4()
{
std::cout << "Test 4" << std::endl;
int*numbers = nullptr;
std::cout << "Found max_sum = " << getGreatestSumOfSubArr(numbers, 8) << std::endl;
}
void test_getGreatestSumOfSubArr()
{
test_1();
test_2();
test_3();
test_4();
}
int main(int argc, char**argv)
{
test_getGreatestSumOfSubArr();
return 0;
}
劍指offer-獲取數組中子序列之和最大值
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