LED photostrobe Alpha test

Okay, so I have looked over the specs on typical adjustable regulators, and it still looks like a reasonable way to provide current limiting. Since I have LM317T in hand, I want to make three of the current regulator circuits from the spec sheet (1.2 ohm between output and adjust makes for 1a regulator).

In thinking about this, and getting ready to wire up a test circuit, I was looking at the schematic in spec sheet for running the LM317 in tandem as a VOLTAGE regulator.. and it shows the setting resistor "shared" between the adjust connections on the regulators.. This makes sense to me, I think, as the resistor output voltage remains the same, even if the current is spread across the multiple terminals.. And as it only cares about that voltage, "sharing" the resistor ensures a single feedback loop to the regulators, keeping them balanced.

Given this is the case, does the same design consideration apply if I were connecting multiple LM317 current sources? I am thinking that a single voltage split three ways will be better than three sorta close voltages...