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题目来源:http://www.lintcode.com/zh-cn/problem/product-of-array-exclude-itself/
方法1:直接法
可以accept的程序如下:
1 class Solution { 2 public: 3 /** 4 * @param A: Given an integers array A 5 * @return: A long long array B and B[i]= A[0] * ... * A[i-1] * A[i+1] * ... * A[n-1] 6 */ 7 vector<long long> productExcludeItself(vector<int> &nums) { 8 // write your code here 9 vector<long long> result; 10 for(int i=0;i<nums.size();i++) 11 { 12 long long temp=1; 13 for(int j=0;j<i;j++) 14 temp*=nums[j]; 15 for(int j=i+1;j<nums.size();j++) 16 temp*=nums[j]; 17 result.push_back(temp); 18 } 19 return result; 20 } 21 };
方法2:Time: O(n) Space: O(1)
可以accept的程序如下:
1 class Solution { 2 public: 3 /** 4 * @param A: Given an integers array A 5 * @return: A long long array B and B[i]= A[0] * ... * A[i-1] * A[i+1] * ... * A[n-1] 6 */ 7 vector<long long> productExcludeItself(vector<int> &nums) { 8 // write your code here 9 vector<long long> left_product(nums.size()); 10 left_product[0] = 1; 11 for (int i = 1; i < nums.size(); ++i) { 12 left_product[i] = left_product[i - 1] * nums[i - 1]; 13 } 14 long long right_product = 1; 15 for (int i = static_cast<int>(nums.size()) - 2; i >= 0; --i) { 16 right_product *= nums[i + 1]; 17 left_product[i] = left_product[i] * right_product; 18 } 19 return left_product; 20 } 21 };
方法3:Time: O(n) Space: O(n)
可以accept的程序如下:
1 class Solution { 2 public: 3 /** 4 * @param A: Given an integers array A 5 * @return: A long long array B and B[i]= A[0] * ... * A[i-1] * A[i+1] * ... * A[n-1] 6 */ 7 vector<long long> productExcludeItself(vector<int> &nums) { 8 // write your code here 9 vector<long long> left_product(nums.size()); 10 vector<long long> right_product(nums.size()); 11 vector<long long> product(nums.size()); 12 left_product[0] = 1; 13 for (int i = 1; i < nums.size(); ++i) { 14 left_product[i] = left_product[i - 1] * nums[i - 1]; 15 } 16 right_product[nums.size() - 1] = 1; 17 for (int j = static_cast<int>(nums.size()) - 2; j >= 0; --j) { 18 right_product[j] = right_product[j + 1] * nums[j + 1]; 19 } 20 for (int k = 0; k < nums.size(); ++k) { 21 product[k] = left_product[k] * right_product[k]; 22 } 23 return product; 24 } 25 };
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原文地址:http://www.cnblogs.com/hslzju/p/5483758.html