3917: Easy Number Challenge
金币值：2
定数：1
时间限制：2.000 s
内存限制：256 M
正确：0
提交：0
正确率：0.00% 命题人：
题目描述
time limit per test
2 secondsmemory limit per test
256 megabytesinput
standard inputoutput
standard outputLet's denote d(n) as the number of divisors of a positive integer n. You are given three integers a, b and c. Your task is to calculate the following sum:
Find the sum modulo 1073741824 (230).
Input
The first line contains three space-separated integers a, b and c (1≤a,b,c≤100).
Output
Print a single integer − the required sum modulo 1073741824 (230).
Examples
Input
2 2 2
Output
20
Input
5 6 7
Output
1520
Note
For the first example.
- d(1·1·1)=d(1)=1;
- d(1·1·2)=d(2)=2;
- d(1·2·1)=d(2)=2;
- d(1·2·2)=d(4)=3;
- d(2·1·1)=d(2)=2;
- d(2·1·2)=d(4)=3;
- d(2·2·1)=d(4)=3;
- d(2·2·2)=d(8)=4.
So the result is 1+2+2+3+2+3+3+4=20.