The Lenstra–Lenstra–Lovász (LLL) algorithm is a polynomial-time algorithm used in computational number theory and lattice basis reduction. It transforms a basis of a lattice into a shorter and more orthogonal basis, making it easier to solve problems related to integer programming and cryptography. The LLL algorithm works by iteratively adjusting the basis vectors to ensure they are shorter and more closely aligned. This process helps in finding approximate solutions to problems like the Shortest Vector Problem (SVP) and has applications in areas such as cryptanalysis and computer algebra.