Tarasenko put the Blues ahead 1-0 25 seconds into the second period, scoring his 28th goal on a wrist shot from the left circle.
Brayden Schenn had the first of his two assists on the play, continuing his strong production when playing on a line with Tarasenko and O'Reilly. Schenn has 17 points (three goals, 14 assists) in his past 13 games playing with Tarasenko and O'Reilly, and the three have combined for 56 points (21 goals, 35 assists) in that span.
"It's nice having him back, that's for sure," O'Reilly said of Schenn. "We're a line that plays a lot of minutes. We have to lead the charge that way. Both [Tarasenko] and [Schenn] played great tonight."
Schenn has four points (one goal, three assists) in two games since returning from an upper-body injury that kept him out for six games. The Blues were 2-3-1 without Schenn following an 11-game winning streak.
"You see how much [Schenn] means to that line, means to our group," Allen said. "I don't know how many games he missed … we weren't playing like we did (during the winning streak). We're working our way back and he just adds so much to our top six. To have that No. 1 line like that is key."
Tyler Bozak made it 2-0 at 18:42 when he scored from the slot. Joel Edmundson was able to knock down the rebound of his own shot out of midair and pass it to Bozak, who scored his 11th goal.
O'Reilly extended the lead to 3-0 at 19:58 on an odd-man rush when he tipped Schenn's pass past Quick.
"We're not fancy and beating guys one-on-one," O'Reilly said. "It's kind of coming together and supporting each other, and we find a way to support each other. When we do that you can see we're able to make plays and stuff opens up so we find ways to break down teams."
Ivan Barbashev's one-timer in the right circle off a pass from Sammy Blais on an odd-man rush made it 4-0 at 8:13 of the third period.
"Tonight alone I think that's more odd-man rushes than I've seen in a game in a long time" Kings forward Tyler Toffoli said. "That's not a way for any team to be successful, and that's not a way for any team to stick together because that just creates problems and creates panic coming back into the zone and gives the other team more space which skill players are going to make plays and score goals."