Full Binary Tree

DescriptionIn computer science, a binary tree is a tree data structure in which each node has at most two children. Consider an infinite full binary tree (each node has two children except the leaf nodes) defined as follows. For a node labelled v its left child will be labelled 2 * v and its right child will be labelled 2 * v + 1. The root is labelled as 1. You are given n queries of the form i, j. For each query, you have to print the length of the shortest path between node labelled i and node labelled j. InputFirst line contains n(1 ≤ n ≤ 10^5), the number of queries. Each query consists of two space separated integers i and j(1 ≤ i, j ≤ 10^9) in one line. OutputFor each query, print the required answer in one line. Sample Input

5
1 2
2 3
4 3
1024 2048
3214567 9998877

Sample Output

1
2
3
1
44

此题要求在一个二叉树中寻找两个数的最短路径，可知每个数都是同一个母数向下分裂;
所以只要找到两个数最近的母数就可的两数之间的最短路径;
只需每次对较大的数除以二即可;
AC代码：
#include <iostream>
#include<algorithm>
#include<stdlib.h>
#include<stdio.h>
#include<string.h>
#include<math.h>
using namespace std;
struct A{
    char a[1100];
    char b[1100];
}a;
int main()
{
     int i,j,k,n,m,x,y,b,c,d,e,t;
     char a[110][110];
    while(scanf("%d",&t)!=EOF)
    {
        while(t--)
        {

            scanf("%d%d",&x,&y);
            for(m=0;x!=y;m++)
            {
                if(x>y)
                x/=2;
                 else if(y>x)
                y/=2;

            }

            printf("%d\n",m);
        }
    }

    return 0;
}