Depending upon your resources and climate it may be easier to just heavily mulch, though you may end up with various deficiencies depending upon what you mulch with, so you may need to supplement fertilizer. The other factor to consider is whether you can produce enough BALANCED compost to satisfy your needs in a cost/time efficient manner. Checking your average rainfall, you may encounter issues keeping your compost moist enough during the summer to have it break down effectively. Maybe start nitrogen fixing groundcover around the trees when the rainy season starts in September and mulch them under in April or May?

You're missing the perfect opportunity to name it "PPAP" (Google for the meme).

Here is a video about them... apparently they taste better when they're dried out?

https://youtu.be/U8E6iMtzRVI?t=5m16s

@Doc, It does indeed have chickenhearted seeds; I got it either from Bender or Excalibur last year.

I noticed under closer inspection that there appears to be some a small infestation of scale, perhaps green scale, in between some of the clusters. Not sure if this is affecting healthy fruit... Is there any way to safely clean scale off almost ripe lychees?

It is highly likely a family member overfertilized the tree or gave it some random "organic fertilizer" while I was out of town. Due to the taste and the scale, I'm almost certainly going to prune it all when I return home Friday.

They weren't tart or fermented, and they were sweet. It probably was as SoCal2warm said, the soil is highly organic and it has been raining heavily here recently, and it is in a pot base. I may just prune the rest of them off, as I tried fruits from other branches and they all tasted the same.