I'll start from the beginning and add on:

November 1st: Nuggets lose to Timberwolves

November 15th: Timberwolves lose to Suns

November 29th: Suns lose to Raptors

December 1st: Raptors lose to Knicks

December 5th: Knicks lose to Bucks

December 7th: Bucks lose to Pacers

December 9th: Pacers lose to Lakers

December 12th: Lakers lose to Mavericks

December 14th: Mavericks lose to Timberwolves

December 20th: Timberwolves lose to Sixers

December 25th: Sixers lose to Heat

December 30th: Heat lose to Jazz

January 5th: Jazz lose to Celtics

January 8th: Celtics lose to Pacers

January 14th: Pacers lose to Nuggets

January 16th: Nuggets lose to 76ers

January 25th: 76ers lose to Pacers

January 30th: Pacers lose to Celtics

February 1st: Celtics lose to Lakers

February 8th: Lakers lose to Nuggets

February 9th: Nuggets lose to Kings

February 26th: Kings lose to Heat

February 29th: Heat lose to Nuggets

March 17th: Nuggets lose to Mavericks

April 2nd: Mavericks lose to Warriors

April 12th: Warriors lose to Pelicans

April 14th: Pelicans lose to Lakers

Current (Final) Holder: Lakers

Holders:

Nuggets (III)

Timberwolves (II)

Suns

Raptors

Knicks

Bucks

Pacers (II)

Lakers (III)

Mavericks (II)

76ers

Heat (II)

Jazz

Celtics

Kings

Warriors

Pelicans

Teams that haven't held the cup:

Hawks

Nets

Bulls

Pistons

Wizards

Hornets

Spurs

Blazers

Clippers

Grizzlies

Rockets