题目:给定一个数组A[0,1,...,n-1],请构建一个数组B[0,1,...,n-1],其中B中的元素B[i]=A[0]*A[1]*...*A[i-1]*A[i+1]*...*A[n-1]。不能使用除法。
思路:
//b[i] = c[i]* d[i]
//c[i] = A[0]*A[1]*...*A[i-1] = C[i-1] * A[i-1];
//D[I] = A[i-1]*A[i+1]*...*A[n-1] = a[i+1]*D[I+1];
注意: 用一个变量B【】表示,C和D
import java.util.ArrayList; public class Solution { public int[] multiply(int[] A) { //b[i] = c[i]* d[i] //c[i] = A[0]*A[1]*...*A[i-1] = C[i-1] * A[i-1]; //D[I] = A[i-1]*A[i+1]*...*A[n-1] = a[i+1]*D[I+1]; int[] B = new int[A.length]; B[0] = 1; for (int i = 1; i < A.length; i++) { //计算c[i] B[i] = B[i - 1] * A[i - 1]; } double temp = 1; for (int i = A.length - 2; i >= 0; i--) { //计算D【i】 temp *= A[i + 1]; //计算c[i] * d[i] B[i] *= temp; } return B; } }
测试:
1、顺序的
2、有正有负
3、正和0
4、负和0
5、数组就2个元素
原文:http://www.cnblogs.com/lingli-meng/p/7203326.html