日期:2014-05-20  浏览次数:20605 次

求S[N]数组中任意N-1个元素的最大乘积
有一个数组S[N],求S[N]数组中 “任意“ N-1个元素的乘积,只能用乘法,不能用除法,要求时间复杂度为O(N)

------解决方案--------------------
Java code





public class Test {
    http://wenku.baidu.com/view/6607b3360b4c2e3f5727631d.html
    public static void main(String[] args) {
        int s[] = {5,-3,2,4,-1,3};
        int length = s.length;
        int[] front = new int[length];//前i个数的积
        int[] back = new int[length];// 倒数i个数的积
        
        front[0] = s[0];
        back[0] = s[length-1];
        for(int i=1; i<length; i++){
          front[i] = front[i-1]*s[i];
          back[i] = back[i-1]*s[length-i-1];        
        }
        
        int result = back[length-2]>front[length-2]?back[length-2]:front[length-2];
        for(int i=1;i<length-1;i++){
            int temp = front[i-1]*back[length-i-2];
            if(result< temp) result = temp;        
        }        
        System.out.println(result);
    
        //O(n) + O(n)  = O(n)
    }
}