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求数组的子数组之和的最大值

《编程之美》的2.14中抛出了这么一道题。我的解法如下:

#!/usr/bin/env pythondef getMaxSubset(data):    if len(data)==0:        return    curSum = maxSum = data[0]    i = 1    while i < len(data):                if curSum<=0:            curSum = data[i]        else:            curSum+=data[i]        if curSum>=maxSum:            maxSum = curSum        i+=1    return maxSuma1 = [-2, 5, 3, -6, 4, -8, 6]a2 = [-2, 3, -4]a3 = [1, -2, 3, 5, -3, 2]a4 = [0, -2, 3, 5, -1, 2]a5 = [-9, -8, -6, -5, -2]a6 = [0, 0, 0, 0]a7 = [-2,-3, 4,5,-2,6]print getMaxSubset(a1)print getMaxSubset(a2)print getMaxSubset(a3)print getMaxSubset(a4)print getMaxSubset(a5)print getMaxSubset(a6)print getMaxSubset(a7)

输出为:

8389-2013

这样只需要扫描一遍数组,时间复杂度为O(N).

求数组的子数组之和的最大值