CF633A Ebony and Ivory
Description
Dante is engaged in a fight with "The Savior". Before he can fight it with his sword, he needs to break its shields. He has two guns, Ebony and Ivory, each of them is able to perform any non-negative number of shots.
For every bullet that hits the shield, Ebony deals $ a $ units of damage while Ivory deals $ b $ units of damage. In order to break the shield Dante has to deal exactly $ c $ units of damage. Find out if this is possible.
Input Format
The first line of the input contains three integers $ a $ , $ b $ , $ c $ ( $ 1
Output Format
Print "Yes" (without quotes) if Dante can deal exactly $ c $ damage to the shield and "No" (without quotes) otherwise.
Explanation/Hint
In the second sample, Dante can fire $ 1 $ bullet from Ebony and $ 2 $ from Ivory to deal exactly $ 1·3+2·2=7 $ damage. In the third sample, Dante can fire $ 1 $ bullet from ebony and no bullets from ivory to do $ 1·6+0·11=6 $ damage.