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Five. More of a bad stench can make it overpowering.
Stench Rules:
If they didn't want you making multiple saves, the developers could just have easily said that a successful save makes you immune to ALL such creatures' stench for 24 hours. Stench (Ex) A creature with the stench special ability secretes an oily chemical that nearly every other creature finds offensive. All living creatures (except those with the stench special ability) within 30 feet must succeed on a Fortitude save (DC 10 + 1/2 stench creature's racial HD + stench creature's Con modifier; the exact DC is given in the creature's descriptive text) or be sickened. The duration of the sickened condition is given in the creature's descriptive text. Creatures that successfully save cannot be affected by the same creature's stench for 24 hours. A delay poison or neutralize poison spell removes the effect from the sickened creature. Creatures with immunity to poison are unaffected, and creatures resistant to poison receive their normal bonus on their saving throws.
Format: stench (DC 15, 10 rounds); Location: Aura.
I would rule it five separate saves. Just like I would rule 2 separate save against two basilisks that are both looking at you.
You might consider just raising the DC +1 or +2 for each additional troglodyte. I agree about the 2 separate basilisks. But, you have to be an exceptional individual to smell 5 troglodytes separately. Mostly I think it would blend into one incredibly overpowering smell. I doubt that is the RAW. But, 5 rolls from each PC to enter the room is a whole lot of rolling...
