You should use the resistors as listed in the tutorial coming off the speaker. The notation of a 5V resistor is input power. because your using a 5v source, you dont need a resistor there. as for your LED's, I would figure a resistor for each LED based on a 5V supply. your LED's are going to each have different forward voltage based on the color of the diode, size, and maufacturer, check the packaging for the forward voltage listing.
So if your LED is blue and requires 3.3V pulling from a 5V source @ 20mA you would add a 100 OHM resistor for one LED. This will change based on how many LEDs you are using and how you are wiring them.
Disclaimer: I have had reports of this working with the Speaker resistors and I have had reports telling me they are required. While I own the site and am versed in many LED configurations, this is not a project I have ever had the use for. I have always done sound reactive LEDS with a programmed chip. THe author of this mod was a admin here, and is now an alum which means his account is in good standing so I would trust the tutorial.
Good luck, let us know how it goes.