Lintcode: Product of Array Exclude Itself

Given an integers array A.

Define B[i] = A[0] * ... * A[i-1] * A[i+1] * ... * A[n-1], calculate B without divide operation.

Example
For A=[1, 2, 3], B is [6, 3, 2]

非常典型的Forward-Backward Traversal 方法:

但是第一次做的时候还是忽略了一些问题:比如A.size()==1时,答案应该是空[]

 1 public class Solution {
 2     /**
 3      * @param A: Given an integers array A
 4      * @return: A Long array B and B[i]= A[0] * ... * A[i-1] * A[i+1] * ... * A[n-1]
 5      */
 6     public ArrayList<Long> productExcludeItself(ArrayList<Integer> A) {
 7         // write your code
 8         ArrayList<Long> res = new ArrayList<Long>();
 9         if (A==null || A.size()==0 || A.size()==1) return res;
10         long[] lProduct = new long[A.size()];
11         long[] rProduct = new long[A.size()];
12         lProduct[0] = 1;
13         for (int i=1; i<A.size(); i++) {
14             lProduct[i] = lProduct[i-1]*A.get(i-1);
15         }
16         rProduct[A.size()-1] = 1;
17         for (int j=A.size()-2; j>=0; j--) {
18             rProduct[j] = rProduct[j+1]*A.get(j+1);
19         }
20         for (int k=0; k<A.size(); k++) {
21             res.add(lProduct[k] * rProduct[k]);
22         }
23         return res;
24     }
25 }
原文地址:https://www.cnblogs.com/EdwardLiu/p/4386031.html