how to build shaco ap?

[sweet pebble]

From what I'm gathering, after checking multiple sites (champion.gg, and op.gg, pros.lol) its

Core:
Liandry
Lucidity Boots
Demonic
Zhonya

And the last two items are situational. Most of these builds include Voidstaff as one of the last two items.

Runes:
Initial Tree
Dark Harvest
Left most option (I forget the name atm)
Eyeball Collection
Ultimate Hunter
Secondary Tree
Transcendence
Water Walking

Sums:
Ignite / Smite

Also note builds can also depend on your playstyle.
Shaco mains can faq check me.

[green lagoon]

As for the runes, depending on your preference, and what the list above probably fails to mention, is your flex runes (Adaptive damage, attack speed and ability haste etc.)

I often run the ability haste flex rune instead of the adaptive damage one in the first row.

This is because your Q cooldown is very important when you aren't running flash (which most Shacos don't, but it is still viable) and any shot at lowering that cooldown should be taken

whether or not this changes anything, I haven't really bothered on the maths with, but it feels better to play with