Final answer:
Louis XIV of France did not directly engage in a war against Great Britain during his reign, however, France fought against Great Britain in conflicts like the War of the Spanish Succession. Additionally, Louis XIV established a strong absolute monarchy in France and supported mercantilist policies.
Step-by-step explanation:
King Louis XIV of France did not directly participate in a war against Great Britain during his reign which lasted from 1643 to 1715. However, during his time, France was involved in several conflicts with various European powers, including the War of the Spanish Succession where Louis XIV's France battled against a coalition that included Great Britain. It is important to note that there were instances such as the Treaty of Dover in 1670, where Charles II of England actually aligned with Louis XIV against Holland. Moreover, Louis XIV's long reign saw the establishment of absolute monarchy in France and his support for mercantilist policies under the guidance of his finance minister, Jean-Baptiste Colbert.
In the context of North American conflicts, while not directly against Great Britain in his reign, France did engage in wars in North America, such as King William's War and Queen Anne's War, where France and Great Britain contested control over territories.