Final answer:
The type of attack that involves obtaining several messages encrypted with the same algorithm is often associated with known or chosen plaintext attacks, allowing attackers to discover patterns and potentially decrypt the messages.
Step-by-step explanation:
The attack that requires an attacker to obtain several encrypted messages that have been encrypted using the same encryption algorithm is typically related to a known plaintext attack or chosen plaintext attack, where the attacker has multiple ciphertexts to analyze. This scenario often arises in cases where an encryption algorithm is used repeatedly without proper precautions, such as changing keys regularly. For instance, a transposition cipher, which was used in the Zimmerman Telegram, rearranges the letters in a plaintext according to a rule. By analyzing multiple messages encrypted with the same key, an attacker can detect patterns and potentially deduce the plaintexts or the encryption key itself, particularly if a common technique such as dividing the plaintext into blocks of a certain size, possibly determined by a keyword, is applied consistently.