CF Playing with Paper

在一次不那么有趣的数学课上,瓦西里用一张长宽比例为a:b的正方形纸张折出了纸船,并以此为基础进行了一系列的折纸活动。通过计算,读者可以了解瓦西里在这堂课上总共能折出多少只纸船。

Playing with Paper

time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular a mm  ×  b mm sheet of paper (a > b). Usually the first step in making an origami is making a square piece of paper from the rectangular sheet by folding the sheet along the bisector of the right angle, and cutting the excess part.

After making a paper ship from the square piece, Vasya looked on the remaining (a - b) mm  ×  b mm strip of paper. He got the idea to use this strip of paper in the same way to make an origami, and then use the remainder (if it exists) and so on. At the moment when he is left with a square piece of paper, he will make the last ship from it and stop.

Can you determine how many ships Vasya will make during the lesson?

Input

The first line of the input contains two integers a, b (1 ≤ b < a ≤ 1012) — the sizes of the original sheet of paper.

Output

Print a single integer — the number of ships that Vasya will make.

Sample test(s)
Input
2 1
Output
2
Input
10 7
Output
6
Input
1000000000000 1
Output
1000000000000


 1 #include <iostream>
 2 #include <cstdio>
 3 using    namespace    std;
 4 
 5 int    main(void)
 6 {
 7     long    long    count;
 8     long    long    a,b;
 9 
10     while(scanf("%lld%lld",&a,&b) != EOF)
11     {
12         count = 0;
13         if(!(a % b))
14         {
15             cout << a / b << endl;
16             continue;
17         }
18 
19         int    flag = 1;
20 
21         while((a % b))
22         {
23             count += a / b;
24             a %= b;
25             if(a < b)
26                 swap(a,b);
27             if(a % b == 0)
28                 count += a / b;
29         }
30         cout << count << endl;
31     }
32 
33     return    0;
34 }

 

转载于:https://www.cnblogs.com/xz816111/p/4394650.html

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