Google Sheets- Copy Paste Loop, Ignore Blanks, Add Random Number

Hi there - please read description first. This is a very quick task and won't take long.

I need a google script created for use on google sheets. The script should loop through every cell in a range (ignoring blank cells) then copy the non blank cells plus a 5 digit random number to another column. See attached image example (copies A1:A7 to C1:C7). The script need to run efficiently as will be used on much bigger data sample. Each time the script is run a new random number should be generated.

Thanks