Subsets & Combinations - Largest Divisible Subset
Examine the following Python function for finding the largest divisible subset. Identify the logical error:
```python
def largestDivisibleSubset(nums):
if not nums:
return []
nums.sort()
n = len(nums)
dp = [1] * n
prev = [-1] * n
max_index = 0
for i in range(n):
for j in range(i):
if nums[i] % nums[j] == 0 and dp[j] + 1 > dp[i]:
dp[i] = dp[j] + 1
prev[i] = j
if dp[i] > dp[max_index]:
max_index = i
result = []
while max_index >= 0:
result.append(nums[max_index])
max_index = prev[max_index]
return result
```