Question: Which Danish king that Ove Bille served under was also the elected king of Norway?

Context paragraphs:
Frederick I of Denmark: Frederick I (7 October 1471 – 10 April 1533) was the King of Denmark and Norway.  His name is also spelled "Friedrich" in German, "Frederik" in Danish and Norwegian and "Fredrik" in Swedish.  He was the penultimate Roman Catholic monarch to reign over Denmark, when subsequent monarchs embraced Lutheranism after the Protestant Reformation.  As King of Norway, Frederick is most remarkable in never having visited the country and was never being crowned King of Norway.  Therefore he was styled "King of Denmark, the Vends and the Goths, elected King of Norway".

Bille (noble family): Bille (also spelled "Bilde") is a Danish noble family, part of the ancient Danish nobility.  Its members have played a prominent role in Danish politics and society since the mid 13th century and also in Norway during the time Denmark was in a political union with Norway.  The family includes the comital branches Bille-Brahe and Bille-Brahe-Selby There was also a Norwgian branch of the family that died out in 1984

Fort Dansborg: Fort Dansborg, locally called Danish Fort, is a Danish fort located in the shores of Bay of Bengal in Tharangambadi in the South Indian state of Tamil Nadu.  Fort Dansborg was built in the land ceded by Thanjavur king Ragunatha Nayak in an agreement with Danish Admiral Ove Gjedde in 1620 and acted as the base for Danish settlement in the region during the early 17th century.  The fort is the second largest Danish fort after Kronborg.  The fort was sold to the British in 1845 and along with Tharangambadi, the fort lost its significance as the town was not an active trading post for the British.  After India's independence in 1947, the fort was used as an inspection bungalow by the state government till 1978 when the Department of Archaeology, Government of Tamil Nadu took over the control of the fort.  The fort is now used as a museum where the major artifacts of the fort and the Danish empire are displayed.

Canute IV of Denmark: Canute IV (  1042  – 10 July 1086), later known as Canute the Holy (Danish: "Knud IV den Hellige" ) or Saint Canute ("Sankt Knud"), was King of Denmark from 1080 until 1086.  Canute was an ambitious king who sought to strengthen the Danish monarchy, devotedly supported the Roman Catholic Church, and had designs on the English throne.  Slain by rebels in 1086, he was the first Danish king to be canonized.  He was recognized by the Roman Catholic Church as patron saint of Denmark in 1101.

Vladislaus II of Hungary: Vladislaus II, also known as Vladislav II, Władysław II or Wladislas II (1 March 1456 – 13 March 1516; ; Hungarian: "II.  Ulászló" ; Polish: "Władysław II Jagiellończyk" ; Croatian: "Vladislav II.  Jagelović" ; Slovak: "Vladislav II.  Jagelovský" ), was King of Bohemia from 1471 to 1516, and King of Hungary and Croatia from 1490 to 1516.  As the eldest son of Casimir IV Jagiellon, he was expected to inherit Poland and Lithuania.  George of Poděbrady, the Hussite ruler of Bohemia, offered to make Vladislaus his heir in 1468.  Poděbrady needed Casimir IV's support against the rebellious Catholic noblemen and their ally, Matthias Corvinus, king of Hungary.  The Diet of Bohemia elected Vladislaus king after Poděbrady's death, but he could only rule Bohemia proper, because Matthias (whom the Catholic nobles had elected king) occupied Moravia, Silesia and Lusatia.  Vladislaus tried to reconquer the three provinces with his father's assistance, but Matthias repelled them.

Christopher I of Denmark: Christopher I (Danish: "Christoffer I" ) (1219 – 29 May 1259) was King of Denmark between 1252 and 1259.  He was the son of Valdemar II of Denmark by his wife, Infanta Berengária of Portugal.  He succeeded his brothers Eric IV Plovpenning and Abel of Denmark on the throne.  Christopher was elected King upon the death of his older brother Abel in the summer of 1252.  He was crowned at Lund Cathedral on Christmas Day 1252.

Joen Bille: Joen Steensen Bille (born 11 April 1944 in Frederiksberg) is a Danish actor.  He is a member of the noble Bille family, and is also a great-grandson of Henrik Ibsen and Bjørnstjerne Bjørnson.  He is the son of Irene Ibsen and grandson of Norwegian Prime Minister Sigurd Ibsen.  He is married to art historian Bente Scavenius and is the father of actress Beate Bille.

Ove Bille: Ove Bille (d. 1555) was a Danish bishop and royal chancellor to three Danish kings John, Christian II and Frederick.  He served as a chancellor for 21 years and was in 1520 rewarded with the bishopric of the Diocese of Aarhus.  He was especially known for effective administration and strong defense of the Catholic Church.  Following the reformation in Denmar in 1536, Bille was treated more leniently than other Catholic bishops and was released already in 1537.

Christian Jacobsen Drakenberg: Christian Jacobsen Drakenberg (18 November 1626 (?)  – 9 October 1772) was a Norwegian sailor who, according to his information, was born in 1626 in Blomsholm, Norway and thus reached the age of 145.  The claims have since proven less than credible but at the time it was widely accepted and contributed to his considerable fame.  Drakenberg led a colorful life as a sailor; he traveled much in Europe and Asia.  was held captive by pirates on several occasions and fought in 3 wars under different Danish kings.  He retired at 86 and in light of his impressive story he was awarded a yearly pension by the Danish king.  Drakenberg spent the last years of his life living with beneficiaries and friends until his death in 1772 in Aarhus, Denmark.

Matthias Corvinus: Matthias Corvinus, also called Matthias I (Hungarian: "Hunyadi Mátyás" , Croatian: "Matija Korvin" , Romanian: "Matei Corvin" , Slovak: "Matej Korvín" , ; 23 February 1443 – 6 April 1490), was King of Hungary and Croatia from 1458 to 1490.  After conducting several military campaigns, he was elected King of Bohemia in 1469 and adopted the title Duke of Austria in 1487.  He was the son of John Hunyadi, Regent of Hungary, who died in 1456.  In 1457, Matthias was imprisoned along with his older brother, Ladislaus Hunyadi, on the orders of King Ladislaus V of Hungary.  Ladislaus Hunyadi was executed, causing a rebellion that forced King Ladislaus to flee Hungary.  After the King died unexpectedly, Matthias's uncle Michael Szilágyi persuaded the Estates to unanimously proclaim Matthias king on 24 January 1458.  He began his rule under his uncle's guardianship, but he took effective control of government within two weeks.

Supporting paragraphs: Ove Bille Frederick I of Denmark
Answer: Frederick